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Finding the Fourth Proportional to 677.06, 932.82 and 443.78

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Solution

The fourth proportional to 677.06, 932.82 and 443.78 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 932.82 = 443.78 : x
  2. Step 2: Convert to fraction form
    677.06/932.82 = 443.78/x
  3. Step 3: Cross multiply
    677.06x = 932.82 × 443.78
  4. Step 4: Simplify right side
    677.06x = 413,966.86
  5. Step 5: Solve for x
    x = 413,966.86/677.06
  6. Step 6: Final answer
    x = 611.42

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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.