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Finding the Fourth Proportional to 616.71, 925.09 and 309.18

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Solution

The fourth proportional to 616.71, 925.09 and 309.18 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 925.09 = 309.18 : x
  2. Step 2: Convert to fraction form
    616.71/925.09 = 309.18/x
  3. Step 3: Cross multiply
    616.71x = 925.09 × 309.18
  4. Step 4: Simplify right side
    616.71x = 286,022.02
  5. Step 5: Solve for x
    x = 286,022.02/616.71
  6. Step 6: Final answer
    x = 463.78

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