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Finding the Fourth Proportional to 486.20, 727.86 and 439.76

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Solution

The fourth proportional to 486.20, 727.86 and 439.76 is: 658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.20 : 727.86 = 439.76 : x
  2. Step 2: Convert to fraction form
    486.20/727.86 = 439.76/x
  3. Step 3: Cross multiply
    486.20x = 727.86 × 439.76
  4. Step 4: Simplify right side
    486.20x = 320,083.71
  5. Step 5: Solve for x
    x = 320,083.71/486.20
  6. Step 6: Final answer
    x = 658.34

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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.