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Finding the Fourth Proportional to 391.20, 538.76 and 382.70

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Solution

The fourth proportional to 391.20, 538.76 and 382.70 is: 527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.20 : 538.76 = 382.70 : x
  2. Step 2: Convert to fraction form
    391.20/538.76 = 382.70/x
  3. Step 3: Cross multiply
    391.20x = 538.76 × 382.70
  4. Step 4: Simplify right side
    391.20x = 206,181.71
  5. Step 5: Solve for x
    x = 206,181.71/391.20
  6. Step 6: Final answer
    x = 527.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.