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Finding the Fourth Proportional to 391.12, 539.82 and 260.20

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Solution

The fourth proportional to 391.12, 539.82 and 260.20 is: 359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.12 : 539.82 = 260.20 : x
  2. Step 2: Convert to fraction form
    391.12/539.82 = 260.20/x
  3. Step 3: Cross multiply
    391.12x = 539.82 × 260.20
  4. Step 4: Simplify right side
    391.12x = 140,461.16
  5. Step 5: Solve for x
    x = 140,461.16/391.12
  6. Step 6: Final answer
    x = 359.13

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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.