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Finding the Fourth Proportional to 482.69, 724.13 and 194.13

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Solution

The fourth proportional to 482.69, 724.13 and 194.13 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.69 : 724.13 = 194.13 : x
  2. Step 2: Convert to fraction form
    482.69/724.13 = 194.13/x
  3. Step 3: Cross multiply
    482.69x = 724.13 × 194.13
  4. Step 4: Simplify right side
    482.69x = 140,575.36
  5. Step 5: Solve for x
    x = 140,575.36/482.69
  6. Step 6: Final answer
    x = 291.23

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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.