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Finding the Fourth Proportional to 391.17, 539.78 and 260.22

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Solution

The fourth proportional to 391.17, 539.78 and 260.22 is: 359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.17 : 539.78 = 260.22 : x
  2. Step 2: Convert to fraction form
    391.17/539.78 = 260.22/x
  3. Step 3: Cross multiply
    391.17x = 539.78 × 260.22
  4. Step 4: Simplify right side
    391.17x = 140,460.25
  5. Step 5: Solve for x
    x = 140,460.25/391.17
  6. Step 6: Final answer
    x = 359.08

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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.