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Finding the Fourth Proportional to 677.46, 934.89 and 382.73

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Solution

The fourth proportional to 677.46, 934.89 and 382.73 is: 528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.46 : 934.89 = 382.73 : x
  2. Step 2: Convert to fraction form
    677.46/934.89 = 382.73/x
  3. Step 3: Cross multiply
    677.46x = 934.89 × 382.73
  4. Step 4: Simplify right side
    677.46x = 357,805.78
  5. Step 5: Solve for x
    x = 357,805.78/677.46
  6. Step 6: Final answer
    x = 528.16

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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.