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Finding the Fourth Proportional to 483.11, 724.75 and 209.13

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Solution

The fourth proportional to 483.11, 724.75 and 209.13 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.11 : 724.75 = 209.13 : x
  2. Step 2: Convert to fraction form
    483.11/724.75 = 209.13/x
  3. Step 3: Cross multiply
    483.11x = 724.75 × 209.13
  4. Step 4: Simplify right side
    483.11x = 151,567.80
  5. Step 5: Solve for x
    x = 151,567.80/483.11
  6. Step 6: Final answer
    x = 313.73

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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.