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Finding the Fourth Proportional to 460.80, 691.47 and 186.85

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Solution

The fourth proportional to 460.80, 691.47 and 186.85 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 691.47 = 186.85 : x
  2. Step 2: Convert to fraction form
    460.80/691.47 = 186.85/x
  3. Step 3: Cross multiply
    460.80x = 691.47 × 186.85
  4. Step 4: Simplify right side
    460.80x = 129,202.03
  5. Step 5: Solve for x
    x = 129,202.03/460.80
  6. Step 6: Final answer
    x = 280.39

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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.