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Finding the Fourth Proportional to 378.24, 566.52 and 233.64

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Solution

The fourth proportional to 378.24, 566.52 and 233.64 is: 349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 566.52 = 233.64 : x
  2. Step 2: Convert to fraction form
    378.24/566.52 = 233.64/x
  3. Step 3: Cross multiply
    378.24x = 566.52 × 233.64
  4. Step 4: Simplify right side
    378.24x = 132,361.73
  5. Step 5: Solve for x
    x = 132,361.73/378.24
  6. Step 6: Final answer
    x = 349.94

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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.