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Finding the Fourth Proportional to 378.40, 566.64 and 233.68

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Solution

The fourth proportional to 378.40, 566.64 and 233.68 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.40 : 566.64 = 233.68 : x
  2. Step 2: Convert to fraction form
    378.40/566.64 = 233.68/x
  3. Step 3: Cross multiply
    378.40x = 566.64 × 233.68
  4. Step 4: Simplify right side
    378.40x = 132,412.44
  5. Step 5: Solve for x
    x = 132,412.44/378.40
  6. Step 6: Final answer
    x = 349.93

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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.