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Finding the Fourth Proportional to 676.94, 934.14 and 378.22

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Solution

The fourth proportional to 676.94, 934.14 and 378.22 is: 521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 934.14 = 378.22 : x
  2. Step 2: Convert to fraction form
    676.94/934.14 = 378.22/x
  3. Step 3: Cross multiply
    676.94x = 934.14 × 378.22
  4. Step 4: Simplify right side
    676.94x = 353,308.10
  5. Step 5: Solve for x
    x = 353,308.10/676.94
  6. Step 6: Final answer
    x = 521.92

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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.