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Finding the Fourth Proportional to 423.46, 634.56 and 301.78

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Solution

The fourth proportional to 423.46, 634.56 and 301.78 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 634.56 = 301.78 : x
  2. Step 2: Convert to fraction form
    423.46/634.56 = 301.78/x
  3. Step 3: Cross multiply
    423.46x = 634.56 × 301.78
  4. Step 4: Simplify right side
    423.46x = 191,497.52
  5. Step 5: Solve for x
    x = 191,497.52/423.46
  6. Step 6: Final answer
    x = 452.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.