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Finding the Fourth Proportional to 337.68, 506.52 and 280.56

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Solution

The fourth proportional to 337.68, 506.52 and 280.56 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.68 : 506.52 = 280.56 : x
  2. Step 2: Convert to fraction form
    337.68/506.52 = 280.56/x
  3. Step 3: Cross multiply
    337.68x = 506.52 × 280.56
  4. Step 4: Simplify right side
    337.68x = 142,109.25
  5. Step 5: Solve for x
    x = 142,109.25/337.68
  6. Step 6: Final answer
    x = 420.84

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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.