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Finding the Fourth Proportional to 702.89, 970.13 and 408.14

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Solution

The fourth proportional to 702.89, 970.13 and 408.14 is: 563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.89 : 970.13 = 408.14 : x
  2. Step 2: Convert to fraction form
    702.89/970.13 = 408.14/x
  3. Step 3: Cross multiply
    702.89x = 970.13 × 408.14
  4. Step 4: Simplify right side
    702.89x = 395,948.86
  5. Step 5: Solve for x
    x = 395,948.86/702.89
  6. Step 6: Final answer
    x = 563.32

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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.