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Finding the Fourth Proportional to 482.28, 723 and 238.50

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Solution

The fourth proportional to 482.28, 723 and 238.50 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.28 : 723 = 238.50 : x
  2. Step 2: Convert to fraction form
    482.28/723 = 238.50/x
  3. Step 3: Cross multiply
    482.28x = 723 × 238.50
  4. Step 4: Simplify right side
    482.28x = 172,435.50
  5. Step 5: Solve for x
    x = 172,435.50/482.28
  6. Step 6: Final answer
    x = 357.54

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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.