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Finding the Fourth Proportional to 460.61, 691.01 and 200.61

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Solution

The fourth proportional to 460.61, 691.01 and 200.61 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 691.01 = 200.61 : x
  2. Step 2: Convert to fraction form
    460.61/691.01 = 200.61/x
  3. Step 3: Cross multiply
    460.61x = 691.01 × 200.61
  4. Step 4: Simplify right side
    460.61x = 138,622.51
  5. Step 5: Solve for x
    x = 138,622.51/460.61
  6. Step 6: Final answer
    x = 300.96

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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.