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Finding the Fourth Proportional to 702.88, 970.08 and 408.36

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Solution

The fourth proportional to 702.88, 970.08 and 408.36 is: 563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.88 : 970.08 = 408.36 : x
  2. Step 2: Convert to fraction form
    702.88/970.08 = 408.36/x
  3. Step 3: Cross multiply
    702.88x = 970.08 × 408.36
  4. Step 4: Simplify right side
    702.88x = 396,141.87
  5. Step 5: Solve for x
    x = 396,141.87/702.88
  6. Step 6: Final answer
    x = 563.60

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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.