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Finding the Fourth Proportional to 306.78, 460.36 and 209.34

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Solution

The fourth proportional to 306.78, 460.36 and 209.34 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 460.36 = 209.34 : x
  2. Step 2: Convert to fraction form
    306.78/460.36 = 209.34/x
  3. Step 3: Cross multiply
    306.78x = 460.36 × 209.34
  4. Step 4: Simplify right side
    306.78x = 96,371.76
  5. Step 5: Solve for x
    x = 96,371.76/306.78
  6. Step 6: Final answer
    x = 314.14

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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.