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Finding the Fourth Proportional to 402.53, 603.87 and 171.41

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Solution

The fourth proportional to 402.53, 603.87 and 171.41 is: 257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.53 : 603.87 = 171.41 : x
  2. Step 2: Convert to fraction form
    402.53/603.87 = 171.41/x
  3. Step 3: Cross multiply
    402.53x = 603.87 × 171.41
  4. Step 4: Simplify right side
    402.53x = 103,508.50
  5. Step 5: Solve for x
    x = 103,508.50/402.53
  6. Step 6: Final answer
    x = 257.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.