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Finding the Fourth Proportional to 483.42, 724.97 and 209.43

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Solution

The fourth proportional to 483.42, 724.97 and 209.43 is: 314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.42 : 724.97 = 209.43 : x
  2. Step 2: Convert to fraction form
    483.42/724.97 = 209.43/x
  3. Step 3: Cross multiply
    483.42x = 724.97 × 209.43
  4. Step 4: Simplify right side
    483.42x = 151,829.42
  5. Step 5: Solve for x
    x = 151,829.42/483.42
  6. Step 6: Final answer
    x = 314.07

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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.