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Finding the Fourth Proportional to 427.69, 641.62 and 153.82

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Solution

The fourth proportional to 427.69, 641.62 and 153.82 is: 230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 641.62 = 153.82 : x
  2. Step 2: Convert to fraction form
    427.69/641.62 = 153.82/x
  3. Step 3: Cross multiply
    427.69x = 641.62 × 153.82
  4. Step 4: Simplify right side
    427.69x = 98,693.99
  5. Step 5: Solve for x
    x = 98,693.99/427.69
  6. Step 6: Final answer
    x = 230.76

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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.