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Finding the Fourth Proportional to 482.86, 724.08 and 174.64

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Solution

The fourth proportional to 482.86, 724.08 and 174.64 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.86 : 724.08 = 174.64 : x
  2. Step 2: Convert to fraction form
    482.86/724.08 = 174.64/x
  3. Step 3: Cross multiply
    482.86x = 724.08 × 174.64
  4. Step 4: Simplify right side
    482.86x = 126,453.33
  5. Step 5: Solve for x
    x = 126,453.33/482.86
  6. Step 6: Final answer
    x = 261.88

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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.