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Finding the Fourth Proportional to 302.27, 452.80 and 276.89

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Solution

The fourth proportional to 302.27, 452.80 and 276.89 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.27 : 452.80 = 276.89 : x
  2. Step 2: Convert to fraction form
    302.27/452.80 = 276.89/x
  3. Step 3: Cross multiply
    302.27x = 452.80 × 276.89
  4. Step 4: Simplify right side
    302.27x = 125,375.79
  5. Step 5: Solve for x
    x = 125,375.79/302.27
  6. Step 6: Final answer
    x = 414.78

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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.