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Finding the Fourth Proportional to 676.52, 934.17 and 414.62

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Solution

The fourth proportional to 676.52, 934.17 and 414.62 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.52 : 934.17 = 414.62 : x
  2. Step 2: Convert to fraction form
    676.52/934.17 = 414.62/x
  3. Step 3: Cross multiply
    676.52x = 934.17 × 414.62
  4. Step 4: Simplify right side
    676.52x = 387,325.57
  5. Step 5: Solve for x
    x = 387,325.57/676.52
  6. Step 6: Final answer
    x = 572.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.