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Finding the Fourth Proportional to 282.60, 423.48 and 239.52

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Solution

The fourth proportional to 282.60, 423.48 and 239.52 is: 358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.60 : 423.48 = 239.52 : x
  2. Step 2: Convert to fraction form
    282.60/423.48 = 239.52/x
  3. Step 3: Cross multiply
    282.60x = 423.48 × 239.52
  4. Step 4: Simplify right side
    282.60x = 101,431.93
  5. Step 5: Solve for x
    x = 101,431.93/282.60
  6. Step 6: Final answer
    x = 358.92

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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.