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Finding the Fourth Proportional to 402.25, 603.42 and 171.13

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Solution

The fourth proportional to 402.25, 603.42 and 171.13 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 603.42 = 171.13 : x
  2. Step 2: Convert to fraction form
    402.25/603.42 = 171.13/x
  3. Step 3: Cross multiply
    402.25x = 603.42 × 171.13
  4. Step 4: Simplify right side
    402.25x = 103,263.26
  5. Step 5: Solve for x
    x = 103,263.26/402.25
  6. Step 6: Final answer
    x = 256.71

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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.