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Finding the Fourth Proportional to 306.80, 460.20 and 209.60

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Solution

The fourth proportional to 306.80, 460.20 and 209.60 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 460.20 = 209.60 : x
  2. Step 2: Convert to fraction form
    306.80/460.20 = 209.60/x
  3. Step 3: Cross multiply
    306.80x = 460.20 × 209.60
  4. Step 4: Simplify right side
    306.80x = 96,457.92
  5. Step 5: Solve for x
    x = 96,457.92/306.80
  6. Step 6: Final answer
    x = 314.40

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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.