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Finding the Fourth Proportional to 306.29, 458.82 and 284.96

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Solution

The fourth proportional to 306.29, 458.82 and 284.96 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 458.82 = 284.96 : x
  2. Step 2: Convert to fraction form
    306.29/458.82 = 284.96/x
  3. Step 3: Cross multiply
    306.29x = 458.82 × 284.96
  4. Step 4: Simplify right side
    306.29x = 130,745.35
  5. Step 5: Solve for x
    x = 130,745.35/306.29
  6. Step 6: Final answer
    x = 426.87

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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.