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Finding the Fourth Proportional to 483, 724.50 and 194.64

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Solution

The fourth proportional to 483, 724.50 and 194.64 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483 : 724.50 = 194.64 : x
  2. Step 2: Convert to fraction form
    483/724.50 = 194.64/x
  3. Step 3: Cross multiply
    483x = 724.50 × 194.64
  4. Step 4: Simplify right side
    483x = 141,016.68
  5. Step 5: Solve for x
    x = 141,016.68/483
  6. Step 6: Final answer
    x = 291.96

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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.