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Finding the Fourth Proportional to 282.74, 424.12 and 219.02

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Solution

The fourth proportional to 282.74, 424.12 and 219.02 is: 328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 424.12 = 219.02 : x
  2. Step 2: Convert to fraction form
    282.74/424.12 = 219.02/x
  3. Step 3: Cross multiply
    282.74x = 424.12 × 219.02
  4. Step 4: Simplify right side
    282.74x = 92,890.76
  5. Step 5: Solve for x
    x = 92,890.76/282.74
  6. Step 6: Final answer
    x = 328.54

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Why These Related Problems?

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