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Finding the Fourth Proportional to 677.20, 934.08 and 414.88

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Solution

The fourth proportional to 677.20, 934.08 and 414.88 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.20 : 934.08 = 414.88 : x
  2. Step 2: Convert to fraction form
    677.20/934.08 = 414.88/x
  3. Step 3: Cross multiply
    677.20x = 934.08 × 414.88
  4. Step 4: Simplify right side
    677.20x = 387,531.11
  5. Step 5: Solve for x
    x = 387,531.11/677.20
  6. Step 6: Final answer
    x = 572.26

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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.