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Finding the Fourth Proportional to 463.20, 695.20 and 326.32

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Solution

The fourth proportional to 463.20, 695.20 and 326.32 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 695.20 = 326.32 : x
  2. Step 2: Convert to fraction form
    463.20/695.20 = 326.32/x
  3. Step 3: Cross multiply
    463.20x = 695.20 × 326.32
  4. Step 4: Simplify right side
    463.20x = 226,857.66
  5. Step 5: Solve for x
    x = 226,857.66/463.20
  6. Step 6: Final answer
    x = 489.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.