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Finding the Fourth Proportional to 702.22, 969 and 387.43

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Solution

The fourth proportional to 702.22, 969 and 387.43 is: 534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.22 : 969 = 387.43 : x
  2. Step 2: Convert to fraction form
    702.22/969 = 387.43/x
  3. Step 3: Cross multiply
    702.22x = 969 × 387.43
  4. Step 4: Simplify right side
    702.22x = 375,419.67
  5. Step 5: Solve for x
    x = 375,419.67/702.22
  6. Step 6: Final answer
    x = 534.62

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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.