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Finding the Fourth Proportional to 423.54, 634.88 and 230.76

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Solution

The fourth proportional to 423.54, 634.88 and 230.76 is: 345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 634.88 = 230.76 : x
  2. Step 2: Convert to fraction form
    423.54/634.88 = 230.76/x
  3. Step 3: Cross multiply
    423.54x = 634.88 × 230.76
  4. Step 4: Simplify right side
    423.54x = 146,504.91
  5. Step 5: Solve for x
    x = 146,504.91/423.54
  6. Step 6: Final answer
    x = 345.91

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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.