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Finding the Fourth Proportional to 423.49, 634.20 and 293.12

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Solution

The fourth proportional to 423.49, 634.20 and 293.12 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.49 : 634.20 = 293.12 : x
  2. Step 2: Convert to fraction form
    423.49/634.20 = 293.12/x
  3. Step 3: Cross multiply
    423.49x = 634.20 × 293.12
  4. Step 4: Simplify right side
    423.49x = 185,896.70
  5. Step 5: Solve for x
    x = 185,896.70/423.49
  6. Step 6: Final answer
    x = 438.96

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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.