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Finding the Fourth Proportional to 379.33, 523.47 and 211.28

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Solution

The fourth proportional to 379.33, 523.47 and 211.28 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.33 : 523.47 = 211.28 : x
  2. Step 2: Convert to fraction form
    379.33/523.47 = 211.28/x
  3. Step 3: Cross multiply
    379.33x = 523.47 × 211.28
  4. Step 4: Simplify right side
    379.33x = 110,598.74
  5. Step 5: Solve for x
    x = 110,598.74/379.33
  6. Step 6: Final answer
    x = 291.56

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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.