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Finding the Fourth Proportional to 702.56, 1,053.97 and 240.39

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Solution

The fourth proportional to 702.56, 1,053.97 and 240.39 is: 360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 1,053.97 = 240.39 : x
  2. Step 2: Convert to fraction form
    702.56/1,053.97 = 240.39/x
  3. Step 3: Cross multiply
    702.56x = 1,053.97 × 240.39
  4. Step 4: Simplify right side
    702.56x = 253,363.25
  5. Step 5: Solve for x
    x = 253,363.25/702.56
  6. Step 6: Final answer
    x = 360.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.