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Finding the Fourth Proportional to 677.72, 935.24 and 378.97

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Solution

The fourth proportional to 677.72, 935.24 and 378.97 is: 522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.72 : 935.24 = 378.97 : x
  2. Step 2: Convert to fraction form
    677.72/935.24 = 378.97/x
  3. Step 3: Cross multiply
    677.72x = 935.24 × 378.97
  4. Step 4: Simplify right side
    677.72x = 354,423.67
  5. Step 5: Solve for x
    x = 354,423.67/677.72
  6. Step 6: Final answer
    x = 522.96

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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.