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Finding the Fourth Proportional to 482.53, 724.20 and 251.50

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Solution

The fourth proportional to 482.53, 724.20 and 251.50 is: 377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.53 : 724.20 = 251.50 : x
  2. Step 2: Convert to fraction form
    482.53/724.20 = 251.50/x
  3. Step 3: Cross multiply
    482.53x = 724.20 × 251.50
  4. Step 4: Simplify right side
    482.53x = 182,136.30
  5. Step 5: Solve for x
    x = 182,136.30/482.53
  6. Step 6: Final answer
    x = 377.46

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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.