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Finding the Fourth Proportional to 702.29, 969.13 and 387.55

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Solution

The fourth proportional to 702.29, 969.13 and 387.55 is: 534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.29 : 969.13 = 387.55 : x
  2. Step 2: Convert to fraction form
    702.29/969.13 = 387.55/x
  3. Step 3: Cross multiply
    702.29x = 969.13 × 387.55
  4. Step 4: Simplify right side
    702.29x = 375,580.40
  5. Step 5: Solve for x
    x = 375,580.40/702.29
  6. Step 6: Final answer
    x = 534.79

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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.