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Finding the Fourth Proportional to 616.27, 924.27 and 269.59

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Solution

The fourth proportional to 616.27, 924.27 and 269.59 is: 404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.27 : 924.27 = 269.59 : x
  2. Step 2: Convert to fraction form
    616.27/924.27 = 269.59/x
  3. Step 3: Cross multiply
    616.27x = 924.27 × 269.59
  4. Step 4: Simplify right side
    616.27x = 249,173.95
  5. Step 5: Solve for x
    x = 249,173.95/616.27
  6. Step 6: Final answer
    x = 404.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.