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Finding the Fourth Proportional to 483.02, 724.53 and 194.39

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Solution

The fourth proportional to 483.02, 724.53 and 194.39 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.02 : 724.53 = 194.39 : x
  2. Step 2: Convert to fraction form
    483.02/724.53 = 194.39/x
  3. Step 3: Cross multiply
    483.02x = 724.53 × 194.39
  4. Step 4: Simplify right side
    483.02x = 140,843.93
  5. Step 5: Solve for x
    x = 140,843.93/483.02
  6. Step 6: Final answer
    x = 291.59

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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.