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Finding the Fourth Proportional to 482.48, 723.86 and 194.12

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Solution

The fourth proportional to 482.48, 723.86 and 194.12 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.48 : 723.86 = 194.12 : x
  2. Step 2: Convert to fraction form
    482.48/723.86 = 194.12/x
  3. Step 3: Cross multiply
    482.48x = 723.86 × 194.12
  4. Step 4: Simplify right side
    482.48x = 140,515.70
  5. Step 5: Solve for x
    x = 140,515.70/482.48
  6. Step 6: Final answer
    x = 291.24

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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.