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Finding the Fourth Proportional to 364.23, 502.28 and 281.20

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Solution

The fourth proportional to 364.23, 502.28 and 281.20 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.23 : 502.28 = 281.20 : x
  2. Step 2: Convert to fraction form
    364.23/502.28 = 281.20/x
  3. Step 3: Cross multiply
    364.23x = 502.28 × 281.20
  4. Step 4: Simplify right side
    364.23x = 141,241.14
  5. Step 5: Solve for x
    x = 141,241.14/364.23
  6. Step 6: Final answer
    x = 387.79

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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.