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Finding the Fourth Proportional to 391.72, 586.90 and 275.62

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Solution

The fourth proportional to 391.72, 586.90 and 275.62 is: 412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.72 : 586.90 = 275.62 : x
  2. Step 2: Convert to fraction form
    391.72/586.90 = 275.62/x
  3. Step 3: Cross multiply
    391.72x = 586.90 × 275.62
  4. Step 4: Simplify right side
    391.72x = 161,761.38
  5. Step 5: Solve for x
    x = 161,761.38/391.72
  6. Step 6: Final answer
    x = 412.95

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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.