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Finding the Fourth Proportional to 616.52, 924.19 and 287.48

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Solution

The fourth proportional to 616.52, 924.19 and 287.48 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 924.19 = 287.48 : x
  2. Step 2: Convert to fraction form
    616.52/924.19 = 287.48/x
  3. Step 3: Cross multiply
    616.52x = 924.19 × 287.48
  4. Step 4: Simplify right side
    616.52x = 265,687.73
  5. Step 5: Solve for x
    x = 265,687.73/616.52
  6. Step 6: Final answer
    x = 430.95

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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.