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Finding the Fourth Proportional to 483.53, 725.30 and 209.48

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Solution

The fourth proportional to 483.53, 725.30 and 209.48 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.53 : 725.30 = 209.48 : x
  2. Step 2: Convert to fraction form
    483.53/725.30 = 209.48/x
  3. Step 3: Cross multiply
    483.53x = 725.30 × 209.48
  4. Step 4: Simplify right side
    483.53x = 151,934.80
  5. Step 5: Solve for x
    x = 151,934.80/483.53
  6. Step 6: Final answer
    x = 314.22

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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.