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Finding the Fourth Proportional to 280.83, 420.86 and 239.48

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Solution

The fourth proportional to 280.83, 420.86 and 239.48 is: 358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 420.86 = 239.48 : x
  2. Step 2: Convert to fraction form
    280.83/420.86 = 239.48/x
  3. Step 3: Cross multiply
    280.83x = 420.86 × 239.48
  4. Step 4: Simplify right side
    280.83x = 100,787.55
  5. Step 5: Solve for x
    x = 100,787.55/280.83
  6. Step 6: Final answer
    x = 358.89

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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.