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Finding the Fourth Proportional to 388.13, 535.61 and 211.09

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Solution

The fourth proportional to 388.13, 535.61 and 211.09 is: 291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.13 : 535.61 = 211.09 : x
  2. Step 2: Convert to fraction form
    388.13/535.61 = 211.09/x
  3. Step 3: Cross multiply
    388.13x = 535.61 × 211.09
  4. Step 4: Simplify right side
    388.13x = 113,061.10
  5. Step 5: Solve for x
    x = 113,061.10/388.13
  6. Step 6: Final answer
    x = 291.30

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