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Finding the Fourth Proportional to 342.62, 472.64 and 211.54

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Solution

The fourth proportional to 342.62, 472.64 and 211.54 is: 291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.62 : 472.64 = 211.54 : x
  2. Step 2: Convert to fraction form
    342.62/472.64 = 211.54/x
  3. Step 3: Cross multiply
    342.62x = 472.64 × 211.54
  4. Step 4: Simplify right side
    342.62x = 99,982.27
  5. Step 5: Solve for x
    x = 99,982.27/342.62
  6. Step 6: Final answer
    x = 291.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.