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Finding the Fourth Proportional to 702.88, 970.08 and 408.32

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Solution

The fourth proportional to 702.88, 970.08 and 408.32 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.88 : 970.08 = 408.32 : x
  2. Step 2: Convert to fraction form
    702.88/970.08 = 408.32/x
  3. Step 3: Cross multiply
    702.88x = 970.08 × 408.32
  4. Step 4: Simplify right side
    702.88x = 396,103.07
  5. Step 5: Solve for x
    x = 396,103.07/702.88
  6. Step 6: Final answer
    x = 563.54

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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.