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Finding the Fourth Proportional to 427.92, 641.93 and 154.07

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Solution

The fourth proportional to 427.92, 641.93 and 154.07 is: 231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 641.93 = 154.07 : x
  2. Step 2: Convert to fraction form
    427.92/641.93 = 154.07/x
  3. Step 3: Cross multiply
    427.92x = 641.93 × 154.07
  4. Step 4: Simplify right side
    427.92x = 98,900.58
  5. Step 5: Solve for x
    x = 98,900.58/427.92
  6. Step 6: Final answer
    x = 231.12

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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.