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Finding the Fourth Proportional to 626.43, 864.30 and 374.34

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Solution

The fourth proportional to 626.43, 864.30 and 374.34 is: 516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.43 : 864.30 = 374.34 : x
  2. Step 2: Convert to fraction form
    626.43/864.30 = 374.34/x
  3. Step 3: Cross multiply
    626.43x = 864.30 × 374.34
  4. Step 4: Simplify right side
    626.43x = 323,542.06
  5. Step 5: Solve for x
    x = 323,542.06/626.43
  6. Step 6: Final answer
    x = 516.49

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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.