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Finding the Fourth Proportional to 282.72, 426.20 and 264.16

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Solution

The fourth proportional to 282.72, 426.20 and 264.16 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.72 : 426.20 = 264.16 : x
  2. Step 2: Convert to fraction form
    282.72/426.20 = 264.16/x
  3. Step 3: Cross multiply
    282.72x = 426.20 × 264.16
  4. Step 4: Simplify right side
    282.72x = 112,584.99
  5. Step 5: Solve for x
    x = 112,584.99/282.72
  6. Step 6: Final answer
    x = 398.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.