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Finding the Fourth Proportional to 642.52, 884.28 and 613.36

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Solution

The fourth proportional to 642.52, 884.28 and 613.36 is: 844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.52 : 884.28 = 613.36 : x
  2. Step 2: Convert to fraction form
    642.52/884.28 = 613.36/x
  3. Step 3: Cross multiply
    642.52x = 884.28 × 613.36
  4. Step 4: Simplify right side
    642.52x = 542,381.98
  5. Step 5: Solve for x
    x = 542,381.98/642.52
  6. Step 6: Final answer
    x = 844.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.