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Finding the Fourth Proportional to 326.82, 487.40 and 310.71

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Solution

The fourth proportional to 326.82, 487.40 and 310.71 is: 463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.82 : 487.40 = 310.71 : x
  2. Step 2: Convert to fraction form
    326.82/487.40 = 310.71/x
  3. Step 3: Cross multiply
    326.82x = 487.40 × 310.71
  4. Step 4: Simplify right side
    326.82x = 151,440.05
  5. Step 5: Solve for x
    x = 151,440.05/326.82
  6. Step 6: Final answer
    x = 463.37

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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.