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Finding the Fourth Proportional to 402.27, 602.73 and 280.14

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Solution

The fourth proportional to 402.27, 602.73 and 280.14 is: 419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.27 : 602.73 = 280.14 : x
  2. Step 2: Convert to fraction form
    402.27/602.73 = 280.14/x
  3. Step 3: Cross multiply
    402.27x = 602.73 × 280.14
  4. Step 4: Simplify right side
    402.27x = 168,848.78
  5. Step 5: Solve for x
    x = 168,848.78/402.27
  6. Step 6: Final answer
    x = 419.74

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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.