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Finding the Fourth Proportional to 460.76, 691.36 and 187.06

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Solution

The fourth proportional to 460.76, 691.36 and 187.06 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 691.36 = 187.06 : x
  2. Step 2: Convert to fraction form
    460.76/691.36 = 187.06/x
  3. Step 3: Cross multiply
    460.76x = 691.36 × 187.06
  4. Step 4: Simplify right side
    460.76x = 129,325.80
  5. Step 5: Solve for x
    x = 129,325.80/460.76
  6. Step 6: Final answer
    x = 280.68

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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.