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Finding the Fourth Proportional to 702.43, 1,053.80 and 215.52

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Solution

The fourth proportional to 702.43, 1,053.80 and 215.52 is: 323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.43 : 1,053.80 = 215.52 : x
  2. Step 2: Convert to fraction form
    702.43/1,053.80 = 215.52/x
  3. Step 3: Cross multiply
    702.43x = 1,053.80 × 215.52
  4. Step 4: Simplify right side
    702.43x = 227,113.90
  5. Step 5: Solve for x
    x = 227,113.90/702.43
  6. Step 6: Final answer
    x = 323.33

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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.