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Finding the Fourth Proportional to 616.87, 924.57 and 308.02

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Solution

The fourth proportional to 616.87, 924.57 and 308.02 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 924.57 = 308.02 : x
  2. Step 2: Convert to fraction form
    616.87/924.57 = 308.02/x
  3. Step 3: Cross multiply
    616.87x = 924.57 × 308.02
  4. Step 4: Simplify right side
    616.87x = 284,786.05
  5. Step 5: Solve for x
    x = 284,786.05/616.87
  6. Step 6: Final answer
    x = 461.66

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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.