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Finding the Fourth Proportional to 364.43, 502.86 and 275.96

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Solution

The fourth proportional to 364.43, 502.86 and 275.96 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.43 : 502.86 = 275.96 : x
  2. Step 2: Convert to fraction form
    364.43/502.86 = 275.96/x
  3. Step 3: Cross multiply
    364.43x = 502.86 × 275.96
  4. Step 4: Simplify right side
    364.43x = 138,769.25
  5. Step 5: Solve for x
    x = 138,769.25/364.43
  6. Step 6: Final answer
    x = 380.78

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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.