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Finding the Fourth Proportional to 677.34, 934.75 and 378.61

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Solution

The fourth proportional to 677.34, 934.75 and 378.61 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.34 : 934.75 = 378.61 : x
  2. Step 2: Convert to fraction form
    677.34/934.75 = 378.61/x
  3. Step 3: Cross multiply
    677.34x = 934.75 × 378.61
  4. Step 4: Simplify right side
    677.34x = 353,905.70
  5. Step 5: Solve for x
    x = 353,905.70/677.34
  6. Step 6: Final answer
    x = 522.49

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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.