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Finding the Fourth Proportional to 702.38, 969.32 and 387.68

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Solution

The fourth proportional to 702.38, 969.32 and 387.68 is: 535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.38 : 969.32 = 387.68 : x
  2. Step 2: Convert to fraction form
    702.38/969.32 = 387.68/x
  3. Step 3: Cross multiply
    702.38x = 969.32 × 387.68
  4. Step 4: Simplify right side
    702.38x = 375,785.98
  5. Step 5: Solve for x
    x = 375,785.98/702.38
  6. Step 6: Final answer
    x = 535.02

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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.