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Finding the Fourth Proportional to 427.76, 641.70 and 153.79

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Solution

The fourth proportional to 427.76, 641.70 and 153.79 is: 230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.76 : 641.70 = 153.79 : x
  2. Step 2: Convert to fraction form
    427.76/641.70 = 153.79/x
  3. Step 3: Cross multiply
    427.76x = 641.70 × 153.79
  4. Step 4: Simplify right side
    427.76x = 98,687.04
  5. Step 5: Solve for x
    x = 98,687.04/427.76
  6. Step 6: Final answer
    x = 230.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.