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Finding the Fourth Proportional to 456.57, 685.06 and 225.72

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Solution

The fourth proportional to 456.57, 685.06 and 225.72 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 685.06 = 225.72 : x
  2. Step 2: Convert to fraction form
    456.57/685.06 = 225.72/x
  3. Step 3: Cross multiply
    456.57x = 685.06 × 225.72
  4. Step 4: Simplify right side
    456.57x = 154,631.18
  5. Step 5: Solve for x
    x = 154,631.18/456.57
  6. Step 6: Final answer
    x = 338.68

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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.