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Finding the Fourth Proportional to 482.81, 724.44 and 174.86

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Solution

The fourth proportional to 482.81, 724.44 and 174.86 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.81 : 724.44 = 174.86 : x
  2. Step 2: Convert to fraction form
    482.81/724.44 = 174.86/x
  3. Step 3: Cross multiply
    482.81x = 724.44 × 174.86
  4. Step 4: Simplify right side
    482.81x = 126,675.33
  5. Step 5: Solve for x
    x = 126,675.33/482.81
  6. Step 6: Final answer
    x = 262.37

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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.