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Finding the Fourth Proportional to 391.52, 540.24 and 260.72

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Solution

The fourth proportional to 391.52, 540.24 and 260.72 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.52 : 540.24 = 260.72 : x
  2. Step 2: Convert to fraction form
    391.52/540.24 = 260.72/x
  3. Step 3: Cross multiply
    391.52x = 540.24 × 260.72
  4. Step 4: Simplify right side
    391.52x = 140,851.37
  5. Step 5: Solve for x
    x = 140,851.37/391.52
  6. Step 6: Final answer
    x = 359.76

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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.