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Finding the Fourth Proportional to 460.26, 689.85 and 200.22

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Solution

The fourth proportional to 460.26, 689.85 and 200.22 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 689.85 = 200.22 : x
  2. Step 2: Convert to fraction form
    460.26/689.85 = 200.22/x
  3. Step 3: Cross multiply
    460.26x = 689.85 × 200.22
  4. Step 4: Simplify right side
    460.26x = 138,121.77
  5. Step 5: Solve for x
    x = 138,121.77/460.26
  6. Step 6: Final answer
    x = 300.10

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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.