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Finding the Fourth Proportional to 616.95, 924.03 and 308.14

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Solution

The fourth proportional to 616.95, 924.03 and 308.14 is: 461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 924.03 = 308.14 : x
  2. Step 2: Convert to fraction form
    616.95/924.03 = 308.14/x
  3. Step 3: Cross multiply
    616.95x = 924.03 × 308.14
  4. Step 4: Simplify right side
    616.95x = 284,728.29
  5. Step 5: Solve for x
    x = 284,728.29/616.95
  6. Step 6: Final answer
    x = 461.51

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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.