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Finding the Fourth Proportional to 427.03, 640.42 and 153.07

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Solution

The fourth proportional to 427.03, 640.42 and 153.07 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.03 : 640.42 = 153.07 : x
  2. Step 2: Convert to fraction form
    427.03/640.42 = 153.07/x
  3. Step 3: Cross multiply
    427.03x = 640.42 × 153.07
  4. Step 4: Simplify right side
    427.03x = 98,027.11
  5. Step 5: Solve for x
    x = 98,027.11/427.03
  6. Step 6: Final answer
    x = 229.56

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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.