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Finding the Fourth Proportional to 524.77, 724.16 and 291.88

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Solution

The fourth proportional to 524.77, 724.16 and 291.88 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.77 : 724.16 = 291.88 : x
  2. Step 2: Convert to fraction form
    524.77/724.16 = 291.88/x
  3. Step 3: Cross multiply
    524.77x = 724.16 × 291.88
  4. Step 4: Simplify right side
    524.77x = 211,364.20
  5. Step 5: Solve for x
    x = 211,364.20/524.77
  6. Step 6: Final answer
    x = 402.78

Related Problems

Find fourth proportional to 262.38, 362.08 and 145.94
Half scale
Find fourth proportional to 1,049.53, 1,448.32 and 583.75
Double scale
Find fourth proportional to 525.77, 725.54 and 292.88
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.