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Finding the Fourth Proportional to 616.20, 924.56 and 269.61

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Solution

The fourth proportional to 616.20, 924.56 and 269.61 is: 404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 924.56 = 269.61 : x
  2. Step 2: Convert to fraction form
    616.20/924.56 = 269.61/x
  3. Step 3: Cross multiply
    616.20x = 924.56 × 269.61
  4. Step 4: Simplify right side
    616.20x = 249,270.62
  5. Step 5: Solve for x
    x = 249,270.62/616.20
  6. Step 6: Final answer
    x = 404.53

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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.