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Finding the Fourth Proportional to 676.92, 934.16 and 378.20

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Solution

The fourth proportional to 676.92, 934.16 and 378.20 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 934.16 = 378.20 : x
  2. Step 2: Convert to fraction form
    676.92/934.16 = 378.20/x
  3. Step 3: Cross multiply
    676.92x = 934.16 × 378.20
  4. Step 4: Simplify right side
    676.92x = 353,292.75
  5. Step 5: Solve for x
    x = 353,292.75/676.92
  6. Step 6: Final answer
    x = 521.91

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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.