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Finding the Fourth Proportional to 485.52, 727.56 and 229.20

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Solution

The fourth proportional to 485.52, 727.56 and 229.20 is: 343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.52 : 727.56 = 229.20 : x
  2. Step 2: Convert to fraction form
    485.52/727.56 = 229.20/x
  3. Step 3: Cross multiply
    485.52x = 727.56 × 229.20
  4. Step 4: Simplify right side
    485.52x = 166,756.75
  5. Step 5: Solve for x
    x = 166,756.75/485.52
  6. Step 6: Final answer
    x = 343.46

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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.