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Finding the Fourth Proportional to 952.43, 1,427.42 and 432.41

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Solution

The fourth proportional to 952.43, 1,427.42 and 432.41 is: 648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.43 : 1,427.42 = 432.41 : x
  2. Step 2: Convert to fraction form
    952.43/1,427.42 = 432.41/x
  3. Step 3: Cross multiply
    952.43x = 1,427.42 × 432.41
  4. Step 4: Simplify right side
    952.43x = 617,224.63
  5. Step 5: Solve for x
    x = 617,224.63/952.43
  6. Step 6: Final answer
    x = 648.06

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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.