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Finding the Fourth Proportional to 677.46, 934.79 and 378.67

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Solution

The fourth proportional to 677.46, 934.79 and 378.67 is: 522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.46 : 934.79 = 378.67 : x
  2. Step 2: Convert to fraction form
    677.46/934.79 = 378.67/x
  3. Step 3: Cross multiply
    677.46x = 934.79 × 378.67
  4. Step 4: Simplify right side
    677.46x = 353,976.93
  5. Step 5: Solve for x
    x = 353,976.93/677.46
  6. Step 6: Final answer
    x = 522.51

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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.