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Finding the Fourth Proportional to 616.52, 925.29 and 324.35

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Solution

The fourth proportional to 616.52, 925.29 and 324.35 is: 486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 925.29 = 324.35 : x
  2. Step 2: Convert to fraction form
    616.52/925.29 = 324.35/x
  3. Step 3: Cross multiply
    616.52x = 925.29 × 324.35
  4. Step 4: Simplify right side
    616.52x = 300,116.65
  5. Step 5: Solve for x
    x = 300,116.65/616.52
  6. Step 6: Final answer
    x = 486.79

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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.