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Finding the Fourth Proportional to 460.47, 690.17 and 200.69

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Solution

The fourth proportional to 460.47, 690.17 and 200.69 is: 300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 690.17 = 200.69 : x
  2. Step 2: Convert to fraction form
    460.47/690.17 = 200.69/x
  3. Step 3: Cross multiply
    460.47x = 690.17 × 200.69
  4. Step 4: Simplify right side
    460.47x = 138,505.76
  5. Step 5: Solve for x
    x = 138,505.76/460.47
  6. Step 6: Final answer
    x = 300.79

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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.