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Finding the Fourth Proportional to 677.38, 932.35 and 480.55

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Solution

The fourth proportional to 677.38, 932.35 and 480.55 is: 661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.38 : 932.35 = 480.55 : x
  2. Step 2: Convert to fraction form
    677.38/932.35 = 480.55/x
  3. Step 3: Cross multiply
    677.38x = 932.35 × 480.55
  4. Step 4: Simplify right side
    677.38x = 448,040.79
  5. Step 5: Solve for x
    x = 448,040.79/677.38
  6. Step 6: Final answer
    x = 661.43

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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.