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Finding the Fourth Proportional to 313.43, 432.41 and 251.42

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Solution

The fourth proportional to 313.43, 432.41 and 251.42 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.43 : 432.41 = 251.42 : x
  2. Step 2: Convert to fraction form
    313.43/432.41 = 251.42/x
  3. Step 3: Cross multiply
    313.43x = 432.41 × 251.42
  4. Step 4: Simplify right side
    313.43x = 108,713.10
  5. Step 5: Solve for x
    x = 108,713.10/313.43
  6. Step 6: Final answer
    x = 346.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.