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Finding the Fourth Proportional to 677, 934.27 and 414.86

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Solution

The fourth proportional to 677, 934.27 and 414.86 is: 572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677 : 934.27 = 414.86 : x
  2. Step 2: Convert to fraction form
    677/934.27 = 414.86/x
  3. Step 3: Cross multiply
    677x = 934.27 × 414.86
  4. Step 4: Simplify right side
    677x = 387,591.25
  5. Step 5: Solve for x
    x = 387,591.25/677
  6. Step 6: Final answer
    x = 572.51

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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.