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Finding the Fourth Proportional to 280.43, 420.24 and 243.78

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Solution

The fourth proportional to 280.43, 420.24 and 243.78 is: 365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 420.24 = 243.78 : x
  2. Step 2: Convert to fraction form
    280.43/420.24 = 243.78/x
  3. Step 3: Cross multiply
    280.43x = 420.24 × 243.78
  4. Step 4: Simplify right side
    280.43x = 102,447.16
  5. Step 5: Solve for x
    x = 102,447.16/280.43
  6. Step 6: Final answer
    x = 365.33

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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.