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Finding the Fourth Proportional to 391.23, 539.76 and 260.31

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Solution

The fourth proportional to 391.23, 539.76 and 260.31 is: 359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.23 : 539.76 = 260.31 : x
  2. Step 2: Convert to fraction form
    391.23/539.76 = 260.31/x
  3. Step 3: Cross multiply
    391.23x = 539.76 × 260.31
  4. Step 4: Simplify right side
    391.23x = 140,507.93
  5. Step 5: Solve for x
    x = 140,507.93/391.23
  6. Step 6: Final answer
    x = 359.14

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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.