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Finding the Fourth Proportional to 306.02, 458.22 and 275.78

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Solution

The fourth proportional to 306.02, 458.22 and 275.78 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 458.22 = 275.78 : x
  2. Step 2: Convert to fraction form
    306.02/458.22 = 275.78/x
  3. Step 3: Cross multiply
    306.02x = 458.22 × 275.78
  4. Step 4: Simplify right side
    306.02x = 126,367.91
  5. Step 5: Solve for x
    x = 126,367.91/306.02
  6. Step 6: Final answer
    x = 412.94

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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.