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Finding the Fourth Proportional to 677.14, 934.45 and 382.40

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Solution

The fourth proportional to 677.14, 934.45 and 382.40 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.14 : 934.45 = 382.40 : x
  2. Step 2: Convert to fraction form
    677.14/934.45 = 382.40/x
  3. Step 3: Cross multiply
    677.14x = 934.45 × 382.40
  4. Step 4: Simplify right side
    677.14x = 357,338.96
  5. Step 5: Solve for x
    x = 357,338.96/677.14
  6. Step 6: Final answer
    x = 527.72

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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.