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Finding the Fourth Proportional to 482.57, 724.13 and 194.03

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Solution

The fourth proportional to 482.57, 724.13 and 194.03 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.57 : 724.13 = 194.03 : x
  2. Step 2: Convert to fraction form
    482.57/724.13 = 194.03/x
  3. Step 3: Cross multiply
    482.57x = 724.13 × 194.03
  4. Step 4: Simplify right side
    482.57x = 140,501.97
  5. Step 5: Solve for x
    x = 140,501.97/482.57
  6. Step 6: Final answer
    x = 291.15

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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.