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Finding the Fourth Proportional to 677.20, 934.46 and 382.41

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Solution

The fourth proportional to 677.20, 934.46 and 382.41 is: 527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.20 : 934.46 = 382.41 : x
  2. Step 2: Convert to fraction form
    677.20/934.46 = 382.41/x
  3. Step 3: Cross multiply
    677.20x = 934.46 × 382.41
  4. Step 4: Simplify right side
    677.20x = 357,346.85
  5. Step 5: Solve for x
    x = 357,346.85/677.20
  6. Step 6: Final answer
    x = 527.68

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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.