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Finding the Fourth Proportional to 616.43, 924.53 and 307.95

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Solution

The fourth proportional to 616.43, 924.53 and 307.95 is: 461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.43 : 924.53 = 307.95 : x
  2. Step 2: Convert to fraction form
    616.43/924.53 = 307.95/x
  3. Step 3: Cross multiply
    616.43x = 924.53 × 307.95
  4. Step 4: Simplify right side
    616.43x = 284,709.78
  5. Step 5: Solve for x
    x = 284,709.78/616.43
  6. Step 6: Final answer
    x = 461.87

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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.