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Finding the Fourth Proportional to 427.42, 641.33 and 210.88

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Solution

The fourth proportional to 427.42, 641.33 and 210.88 is: 316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.42 : 641.33 = 210.88 : x
  2. Step 2: Convert to fraction form
    427.42/641.33 = 210.88/x
  3. Step 3: Cross multiply
    427.42x = 641.33 × 210.88
  4. Step 4: Simplify right side
    427.42x = 135,243.67
  5. Step 5: Solve for x
    x = 135,243.67/427.42
  6. Step 6: Final answer
    x = 316.42

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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.