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Finding the Fourth Proportional to 282.88, 423.52 and 234.96

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Solution

The fourth proportional to 282.88, 423.52 and 234.96 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 423.52 = 234.96 : x
  2. Step 2: Convert to fraction form
    282.88/423.52 = 234.96/x
  3. Step 3: Cross multiply
    282.88x = 423.52 × 234.96
  4. Step 4: Simplify right side
    282.88x = 99,510.26
  5. Step 5: Solve for x
    x = 99,510.26/282.88
  6. Step 6: Final answer
    x = 351.78

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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.