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Finding the Fourth Proportional to 402.31, 603.47 and 171.24

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Solution

The fourth proportional to 402.31, 603.47 and 171.24 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.31 : 603.47 = 171.24 : x
  2. Step 2: Convert to fraction form
    402.31/603.47 = 171.24/x
  3. Step 3: Cross multiply
    402.31x = 603.47 × 171.24
  4. Step 4: Simplify right side
    402.31x = 103,338.20
  5. Step 5: Solve for x
    x = 103,338.20/402.31
  6. Step 6: Final answer
    x = 256.86

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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.