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Finding the Fourth Proportional to 467.32, 645.17 and 310.17

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Solution

The fourth proportional to 467.32, 645.17 and 310.17 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.32 : 645.17 = 310.17 : x
  2. Step 2: Convert to fraction form
    467.32/645.17 = 310.17/x
  3. Step 3: Cross multiply
    467.32x = 645.17 × 310.17
  4. Step 4: Simplify right side
    467.32x = 200,112.38
  5. Step 5: Solve for x
    x = 200,112.38/467.32
  6. Step 6: Final answer
    x = 428.21

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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.