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Finding the Fourth Proportional to 308.79, 461.07 and 263.12

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Solution

The fourth proportional to 308.79, 461.07 and 263.12 is: 392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.79 : 461.07 = 263.12 : x
  2. Step 2: Convert to fraction form
    308.79/461.07 = 263.12/x
  3. Step 3: Cross multiply
    308.79x = 461.07 × 263.12
  4. Step 4: Simplify right side
    308.79x = 121,314.43
  5. Step 5: Solve for x
    x = 121,314.43/308.79
  6. Step 6: Final answer
    x = 392.87

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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.