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Finding the Fourth Proportional to 638.45, 958.31 and 430.19

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Solution

The fourth proportional to 638.45, 958.31 and 430.19 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.45 : 958.31 = 430.19 : x
  2. Step 2: Convert to fraction form
    638.45/958.31 = 430.19/x
  3. Step 3: Cross multiply
    638.45x = 958.31 × 430.19
  4. Step 4: Simplify right side
    638.45x = 412,250.59
  5. Step 5: Solve for x
    x = 412,250.59/638.45
  6. Step 6: Final answer
    x = 645.71

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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.