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Finding the Fourth Proportional to 460.91, 691.35 and 217.61

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Solution

The fourth proportional to 460.91, 691.35 and 217.61 is: 326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 691.35 = 217.61 : x
  2. Step 2: Convert to fraction form
    460.91/691.35 = 217.61/x
  3. Step 3: Cross multiply
    460.91x = 691.35 × 217.61
  4. Step 4: Simplify right side
    460.91x = 150,441.22
  5. Step 5: Solve for x
    x = 150,441.22/460.91
  6. Step 6: Final answer
    x = 326.40

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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.