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Finding the Fourth Proportional to 460.96, 691.46 and 187.05

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Solution

The fourth proportional to 460.96, 691.46 and 187.05 is: 280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 691.46 = 187.05 : x
  2. Step 2: Convert to fraction form
    460.96/691.46 = 187.05/x
  3. Step 3: Cross multiply
    460.96x = 691.46 × 187.05
  4. Step 4: Simplify right side
    460.96x = 129,338.06
  5. Step 5: Solve for x
    x = 129,338.06/460.96
  6. Step 6: Final answer
    x = 280.59

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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.