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Finding the Fourth Proportional to 363.80, 544.80 and 233.60

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Solution

The fourth proportional to 363.80, 544.80 and 233.60 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 544.80 = 233.60 : x
  2. Step 2: Convert to fraction form
    363.80/544.80 = 233.60/x
  3. Step 3: Cross multiply
    363.80x = 544.80 × 233.60
  4. Step 4: Simplify right side
    363.80x = 127,265.28
  5. Step 5: Solve for x
    x = 127,265.28/363.80
  6. Step 6: Final answer
    x = 349.82

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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.