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Finding the Fourth Proportional to 677.11, 934.41 and 366.61

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Solution

The fourth proportional to 677.11, 934.41 and 366.61 is: 505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 934.41 = 366.61 : x
  2. Step 2: Convert to fraction form
    677.11/934.41 = 366.61/x
  3. Step 3: Cross multiply
    677.11x = 934.41 × 366.61
  4. Step 4: Simplify right side
    677.11x = 342,557.55
  5. Step 5: Solve for x
    x = 342,557.55/677.11
  6. Step 6: Final answer
    x = 505.91

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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.