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Finding the Fourth Proportional to 456.90, 685.34 and 251.43

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Solution

The fourth proportional to 456.90, 685.34 and 251.43 is: 377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 685.34 = 251.43 : x
  2. Step 2: Convert to fraction form
    456.90/685.34 = 251.43/x
  3. Step 3: Cross multiply
    456.90x = 685.34 × 251.43
  4. Step 4: Simplify right side
    456.90x = 172,315.04
  5. Step 5: Solve for x
    x = 172,315.04/456.90
  6. Step 6: Final answer
    x = 377.14

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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.