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Finding the Fourth Proportional to 337.05, 502.79 and 327.11

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Solution

The fourth proportional to 337.05, 502.79 and 327.11 is: 487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.05 : 502.79 = 327.11 : x
  2. Step 2: Convert to fraction form
    337.05/502.79 = 327.11/x
  3. Step 3: Cross multiply
    337.05x = 502.79 × 327.11
  4. Step 4: Simplify right side
    337.05x = 164,463.49
  5. Step 5: Solve for x
    x = 164,463.49/337.05
  6. Step 6: Final answer
    x = 487.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.