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Finding the Fourth Proportional to 457.45, 685.71 and 225.99

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Solution

The fourth proportional to 457.45, 685.71 and 225.99 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 685.71 = 225.99 : x
  2. Step 2: Convert to fraction form
    457.45/685.71 = 225.99/x
  3. Step 3: Cross multiply
    457.45x = 685.71 × 225.99
  4. Step 4: Simplify right side
    457.45x = 154,963.60
  5. Step 5: Solve for x
    x = 154,963.60/457.45
  6. Step 6: Final answer
    x = 338.76

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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.