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Finding the Fourth Proportional to 306.66, 462.23 and 280.69

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Solution

The fourth proportional to 306.66, 462.23 and 280.69 is: 423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.66 : 462.23 = 280.69 : x
  2. Step 2: Convert to fraction form
    306.66/462.23 = 280.69/x
  3. Step 3: Cross multiply
    306.66x = 462.23 × 280.69
  4. Step 4: Simplify right side
    306.66x = 129,743.92
  5. Step 5: Solve for x
    x = 129,743.92/306.66
  6. Step 6: Final answer
    x = 423.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.