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Finding the Fourth Proportional to 815.92, 1,224.07 and 238.79

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Solution

The fourth proportional to 815.92, 1,224.07 and 238.79 is: 358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.92 : 1,224.07 = 238.79 : x
  2. Step 2: Convert to fraction form
    815.92/1,224.07 = 238.79/x
  3. Step 3: Cross multiply
    815.92x = 1,224.07 × 238.79
  4. Step 4: Simplify right side
    815.92x = 292,298.14
  5. Step 5: Solve for x
    x = 292,298.14/815.92
  6. Step 6: Final answer
    x = 358.24

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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.