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Finding the Fourth Proportional to 457, 685.50 and 168.46

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Solution

The fourth proportional to 457, 685.50 and 168.46 is: 252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 685.50 = 168.46 : x
  2. Step 2: Convert to fraction form
    457/685.50 = 168.46/x
  3. Step 3: Cross multiply
    457x = 685.50 × 168.46
  4. Step 4: Simplify right side
    457x = 115,479.33
  5. Step 5: Solve for x
    x = 115,479.33/457
  6. Step 6: Final answer
    x = 252.69

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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.