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Finding the Fourth Proportional to 702.11, 968.96 and 391.61

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Solution

The fourth proportional to 702.11, 968.96 and 391.61 is: 540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.11 : 968.96 = 391.61 : x
  2. Step 2: Convert to fraction form
    702.11/968.96 = 391.61/x
  3. Step 3: Cross multiply
    702.11x = 968.96 × 391.61
  4. Step 4: Simplify right side
    702.11x = 379,452.47
  5. Step 5: Solve for x
    x = 379,452.47/702.11
  6. Step 6: Final answer
    x = 540.45

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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.