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Finding the Fourth Proportional to 427.33, 641.13 and 266.14

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Solution

The fourth proportional to 427.33, 641.13 and 266.14 is: 399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.33 : 641.13 = 266.14 : x
  2. Step 2: Convert to fraction form
    427.33/641.13 = 266.14/x
  3. Step 3: Cross multiply
    427.33x = 641.13 × 266.14
  4. Step 4: Simplify right side
    427.33x = 170,630.34
  5. Step 5: Solve for x
    x = 170,630.34/427.33
  6. Step 6: Final answer
    x = 399.29

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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.