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Finding the Fourth Proportional to 598.66, 826.15 and 362.56

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Solution

The fourth proportional to 598.66, 826.15 and 362.56 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.66 : 826.15 = 362.56 : x
  2. Step 2: Convert to fraction form
    598.66/826.15 = 362.56/x
  3. Step 3: Cross multiply
    598.66x = 826.15 × 362.56
  4. Step 4: Simplify right side
    598.66x = 299,528.94
  5. Step 5: Solve for x
    x = 299,528.94/598.66
  6. Step 6: Final answer
    x = 500.33

Related Problems

Find fourth proportional to 299.33, 413.08 and 181.28
Half scale
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Double scale
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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.