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Finding the Fourth Proportional to 427.57, 641.43 and 153.70

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Solution

The fourth proportional to 427.57, 641.43 and 153.70 is: 230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.57 : 641.43 = 153.70 : x
  2. Step 2: Convert to fraction form
    427.57/641.43 = 153.70/x
  3. Step 3: Cross multiply
    427.57x = 641.43 × 153.70
  4. Step 4: Simplify right side
    427.57x = 98,586.19
  5. Step 5: Solve for x
    x = 98,586.19/427.57
  6. Step 6: Final answer
    x = 230.57

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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.