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Finding the Fourth Proportional to 677.10, 934.38 and 382.43

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Solution

The fourth proportional to 677.10, 934.38 and 382.43 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 934.38 = 382.43 : x
  2. Step 2: Convert to fraction form
    677.10/934.38 = 382.43/x
  3. Step 3: Cross multiply
    677.10x = 934.38 × 382.43
  4. Step 4: Simplify right side
    677.10x = 357,334.94
  5. Step 5: Solve for x
    x = 357,334.94/677.10
  6. Step 6: Final answer
    x = 527.74

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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.