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Finding the Fourth Proportional to 353.88, 531.18 and 233.01

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Solution

The fourth proportional to 353.88, 531.18 and 233.01 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.88 : 531.18 = 233.01 : x
  2. Step 2: Convert to fraction form
    353.88/531.18 = 233.01/x
  3. Step 3: Cross multiply
    353.88x = 531.18 × 233.01
  4. Step 4: Simplify right side
    353.88x = 123,770.25
  5. Step 5: Solve for x
    x = 123,770.25/353.88
  6. Step 6: Final answer
    x = 349.75

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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.