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Finding the Fourth Proportional to 524.75, 724.09 and 314.90

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Solution

The fourth proportional to 524.75, 724.09 and 314.90 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 724.09 = 314.90 : x
  2. Step 2: Convert to fraction form
    524.75/724.09 = 314.90/x
  3. Step 3: Cross multiply
    524.75x = 724.09 × 314.90
  4. Step 4: Simplify right side
    524.75x = 228,015.94
  5. Step 5: Solve for x
    x = 228,015.94/524.75
  6. Step 6: Final answer
    x = 434.52

Related Problems

Find fourth proportional to 262.38, 362.05 and 157.45
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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.