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Finding the Fourth Proportional to 388.23, 535.74 and 211.19

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Solution

The fourth proportional to 388.23, 535.74 and 211.19 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 535.74 = 211.19 : x
  2. Step 2: Convert to fraction form
    388.23/535.74 = 211.19/x
  3. Step 3: Cross multiply
    388.23x = 535.74 × 211.19
  4. Step 4: Simplify right side
    388.23x = 113,140.25
  5. Step 5: Solve for x
    x = 113,140.25/388.23
  6. Step 6: Final answer
    x = 291.43

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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.