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Finding the Fourth Proportional to 468.12, 702.31 and 381.24

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Solution

The fourth proportional to 468.12, 702.31 and 381.24 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 702.31 = 381.24 : x
  2. Step 2: Convert to fraction form
    468.12/702.31 = 381.24/x
  3. Step 3: Cross multiply
    468.12x = 702.31 × 381.24
  4. Step 4: Simplify right side
    468.12x = 267,748.66
  5. Step 5: Solve for x
    x = 267,748.66/468.12
  6. Step 6: Final answer
    x = 571.97

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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.