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Finding the Fourth Proportional to 702.97, 970.09 and 408.31

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Solution

The fourth proportional to 702.97, 970.09 and 408.31 is: 563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.97 : 970.09 = 408.31 : x
  2. Step 2: Convert to fraction form
    702.97/970.09 = 408.31/x
  3. Step 3: Cross multiply
    702.97x = 970.09 × 408.31
  4. Step 4: Simplify right side
    702.97x = 396,097.45
  5. Step 5: Solve for x
    x = 396,097.45/702.97
  6. Step 6: Final answer
    x = 563.46

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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.