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Finding the Fourth Proportional to 702.12, 968.96 and 407.42

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Solution

The fourth proportional to 702.12, 968.96 and 407.42 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.12 : 968.96 = 407.42 : x
  2. Step 2: Convert to fraction form
    702.12/968.96 = 407.42/x
  3. Step 3: Cross multiply
    702.12x = 968.96 × 407.42
  4. Step 4: Simplify right side
    702.12x = 394,766.80
  5. Step 5: Solve for x
    x = 394,766.80/702.12
  6. Step 6: Final answer
    x = 562.25

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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.