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Finding the Fourth Proportional to 310.38, 462.39 and 291.78

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Solution

The fourth proportional to 310.38, 462.39 and 291.78 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.38 : 462.39 = 291.78 : x
  2. Step 2: Convert to fraction form
    310.38/462.39 = 291.78/x
  3. Step 3: Cross multiply
    310.38x = 462.39 × 291.78
  4. Step 4: Simplify right side
    310.38x = 134,916.15
  5. Step 5: Solve for x
    x = 134,916.15/310.38
  6. Step 6: Final answer
    x = 434.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.