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Finding the Fourth Proportional to 482.81, 724.20 and 194.24

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Solution

The fourth proportional to 482.81, 724.20 and 194.24 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.81 : 724.20 = 194.24 : x
  2. Step 2: Convert to fraction form
    482.81/724.20 = 194.24/x
  3. Step 3: Cross multiply
    482.81x = 724.20 × 194.24
  4. Step 4: Simplify right side
    482.81x = 140,664.99
  5. Step 5: Solve for x
    x = 140,664.99/482.81
  6. Step 6: Final answer
    x = 291.35

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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.