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Finding the Fourth Proportional to 306.85, 460.28 and 75.75

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Solution

The fourth proportional to 306.85, 460.28 and 75.75 is: 113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.85 : 460.28 = 75.75 : x
  2. Step 2: Convert to fraction form
    306.85/460.28 = 75.75/x
  3. Step 3: Cross multiply
    306.85x = 460.28 × 75.75
  4. Step 4: Simplify right side
    306.85x = 34,863.62
  5. Step 5: Solve for x
    x = 34,863.62/306.85
  6. Step 6: Final answer
    x = 113.62

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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.