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Finding the Fourth Proportional to 460.69, 691.34 and 200.68

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Solution

The fourth proportional to 460.69, 691.34 and 200.68 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 691.34 = 200.68 : x
  2. Step 2: Convert to fraction form
    460.69/691.34 = 200.68/x
  3. Step 3: Cross multiply
    460.69x = 691.34 × 200.68
  4. Step 4: Simplify right side
    460.69x = 138,735.38
  5. Step 5: Solve for x
    x = 138,735.38/460.69
  6. Step 6: Final answer
    x = 301.15

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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.