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Finding the Fourth Proportional to 364.80, 502.29 and 280.86

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Solution

The fourth proportional to 364.80, 502.29 and 280.86 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 502.29 = 280.86 : x
  2. Step 2: Convert to fraction form
    364.80/502.29 = 280.86/x
  3. Step 3: Cross multiply
    364.80x = 502.29 × 280.86
  4. Step 4: Simplify right side
    364.80x = 141,073.17
  5. Step 5: Solve for x
    x = 141,073.17/364.80
  6. Step 6: Final answer
    x = 386.71

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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.