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Finding the Fourth Proportional to 282.68, 423.46 and 220.76

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Solution

The fourth proportional to 282.68, 423.46 and 220.76 is: 330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.68 : 423.46 = 220.76 : x
  2. Step 2: Convert to fraction form
    282.68/423.46 = 220.76/x
  3. Step 3: Cross multiply
    282.68x = 423.46 × 220.76
  4. Step 4: Simplify right side
    282.68x = 93,483.03
  5. Step 5: Solve for x
    x = 93,483.03/282.68
  6. Step 6: Final answer
    x = 330.70

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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.