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Finding the Fourth Proportional to 482.20, 722.94 and 238.78

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Solution

The fourth proportional to 482.20, 722.94 and 238.78 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.20 : 722.94 = 238.78 : x
  2. Step 2: Convert to fraction form
    482.20/722.94 = 238.78/x
  3. Step 3: Cross multiply
    482.20x = 722.94 × 238.78
  4. Step 4: Simplify right side
    482.20x = 172,623.61
  5. Step 5: Solve for x
    x = 172,623.61/482.20
  6. Step 6: Final answer
    x = 357.99

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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.