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Finding the Fourth Proportional to 677.05, 934.34 and 382.31

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Solution

The fourth proportional to 677.05, 934.34 and 382.31 is: 527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.05 : 934.34 = 382.31 : x
  2. Step 2: Convert to fraction form
    677.05/934.34 = 382.31/x
  3. Step 3: Cross multiply
    677.05x = 934.34 × 382.31
  4. Step 4: Simplify right side
    677.05x = 357,207.53
  5. Step 5: Solve for x
    x = 357,207.53/677.05
  6. Step 6: Final answer
    x = 527.59

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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.