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Finding the Fourth Proportional to 677.08, 934.25 and 382.34

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Solution

The fourth proportional to 677.08, 934.25 and 382.34 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 934.25 = 382.34 : x
  2. Step 2: Convert to fraction form
    677.08/934.25 = 382.34/x
  3. Step 3: Cross multiply
    677.08x = 934.25 × 382.34
  4. Step 4: Simplify right side
    677.08x = 357,198.46
  5. Step 5: Solve for x
    x = 357,198.46/677.08
  6. Step 6: Final answer
    x = 527.56

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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.