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Finding the Fourth Proportional to 306.34, 458.97 and 209.68

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Solution

The fourth proportional to 306.34, 458.97 and 209.68 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.34 : 458.97 = 209.68 : x
  2. Step 2: Convert to fraction form
    306.34/458.97 = 209.68/x
  3. Step 3: Cross multiply
    306.34x = 458.97 × 209.68
  4. Step 4: Simplify right side
    306.34x = 96,234.90
  5. Step 5: Solve for x
    x = 96,234.90/306.34
  6. Step 6: Final answer
    x = 314.15

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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.