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Finding the Fourth Proportional to 427.31, 640.97 and 153.41

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Solution

The fourth proportional to 427.31, 640.97 and 153.41 is: 230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 640.97 = 153.41 : x
  2. Step 2: Convert to fraction form
    427.31/640.97 = 153.41/x
  3. Step 3: Cross multiply
    427.31x = 640.97 × 153.41
  4. Step 4: Simplify right side
    427.31x = 98,327.24
  5. Step 5: Solve for x
    x = 98,327.24/427.31
  6. Step 6: Final answer
    x = 230.11

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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.