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Finding the Fourth Proportional to 467.91, 645.81 and 310.27

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Solution

The fourth proportional to 467.91, 645.81 and 310.27 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.91 : 645.81 = 310.27 : x
  2. Step 2: Convert to fraction form
    467.91/645.81 = 310.27/x
  3. Step 3: Cross multiply
    467.91x = 645.81 × 310.27
  4. Step 4: Simplify right side
    467.91x = 200,373.85
  5. Step 5: Solve for x
    x = 200,373.85/467.91
  6. Step 6: Final answer
    x = 428.23

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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.