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Finding the Fourth Proportional to 463.35, 639.18 and 323.22

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Solution

The fourth proportional to 463.35, 639.18 and 323.22 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.35 : 639.18 = 323.22 : x
  2. Step 2: Convert to fraction form
    463.35/639.18 = 323.22/x
  3. Step 3: Cross multiply
    463.35x = 639.18 × 323.22
  4. Step 4: Simplify right side
    463.35x = 206,595.76
  5. Step 5: Solve for x
    x = 206,595.76/463.35
  6. Step 6: Final answer
    x = 445.87

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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.