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Finding the Fourth Proportional to 660.86, 990.20 and 387.17

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Solution

The fourth proportional to 660.86, 990.20 and 387.17 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 990.20 = 387.17 : x
  2. Step 2: Convert to fraction form
    660.86/990.20 = 387.17/x
  3. Step 3: Cross multiply
    660.86x = 990.20 × 387.17
  4. Step 4: Simplify right side
    660.86x = 383,371.75
  5. Step 5: Solve for x
    x = 383,371.75/660.86
  6. Step 6: Final answer
    x = 580.11

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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.