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Finding the Fourth Proportional to 482.78, 724.21 and 170.44

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Solution

The fourth proportional to 482.78, 724.21 and 170.44 is: 255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 724.21 = 170.44 : x
  2. Step 2: Convert to fraction form
    482.78/724.21 = 170.44/x
  3. Step 3: Cross multiply
    482.78x = 724.21 × 170.44
  4. Step 4: Simplify right side
    482.78x = 123,432.12
  5. Step 5: Solve for x
    x = 123,432.12/482.78
  6. Step 6: Final answer
    x = 255.67

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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.