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Finding the Fourth Proportional to 675.92, 932.84 and 396.24

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Solution

The fourth proportional to 675.92, 932.84 and 396.24 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 932.84 = 396.24 : x
  2. Step 2: Convert to fraction form
    675.92/932.84 = 396.24/x
  3. Step 3: Cross multiply
    675.92x = 932.84 × 396.24
  4. Step 4: Simplify right side
    675.92x = 369,626.54
  5. Step 5: Solve for x
    x = 369,626.54/675.92
  6. Step 6: Final answer
    x = 546.85

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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.