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Finding the Fourth Proportional to 584.52, 872.52 and 508.04

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Solution

The fourth proportional to 584.52, 872.52 and 508.04 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 872.52 = 508.04 : x
  2. Step 2: Convert to fraction form
    584.52/872.52 = 508.04/x
  3. Step 3: Cross multiply
    584.52x = 872.52 × 508.04
  4. Step 4: Simplify right side
    584.52x = 443,275.06
  5. Step 5: Solve for x
    x = 443,275.06/584.52
  6. Step 6: Final answer
    x = 758.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.