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Finding the Fourth Proportional to 306.60, 459.89 and 75.49

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Solution

The fourth proportional to 306.60, 459.89 and 75.49 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.60 : 459.89 = 75.49 : x
  2. Step 2: Convert to fraction form
    306.60/459.89 = 75.49/x
  3. Step 3: Cross multiply
    306.60x = 459.89 × 75.49
  4. Step 4: Simplify right side
    306.60x = 34,716.93
  5. Step 5: Solve for x
    x = 34,716.93/306.60
  6. Step 6: Final answer
    x = 113.23

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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.