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Finding the Fourth Proportional to 391.44, 586.86 and 252.64

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Solution

The fourth proportional to 391.44, 586.86 and 252.64 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.44 : 586.86 = 252.64 : x
  2. Step 2: Convert to fraction form
    391.44/586.86 = 252.64/x
  3. Step 3: Cross multiply
    391.44x = 586.86 × 252.64
  4. Step 4: Simplify right side
    391.44x = 148,264.31
  5. Step 5: Solve for x
    x = 148,264.31/391.44
  6. Step 6: Final answer
    x = 378.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.