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Finding the Fourth Proportional to 364.24, 502.68 and 280.96

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Solution

The fourth proportional to 364.24, 502.68 and 280.96 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 502.68 = 280.96 : x
  2. Step 2: Convert to fraction form
    364.24/502.68 = 280.96/x
  3. Step 3: Cross multiply
    364.24x = 502.68 × 280.96
  4. Step 4: Simplify right side
    364.24x = 141,232.97
  5. Step 5: Solve for x
    x = 141,232.97/364.24
  6. Step 6: Final answer
    x = 387.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.