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Finding the Fourth Proportional to 378.12, 566.91 and 269.85

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Solution

The fourth proportional to 378.12, 566.91 and 269.85 is: 404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 566.91 = 269.85 : x
  2. Step 2: Convert to fraction form
    378.12/566.91 = 269.85/x
  3. Step 3: Cross multiply
    378.12x = 566.91 × 269.85
  4. Step 4: Simplify right side
    378.12x = 152,980.66
  5. Step 5: Solve for x
    x = 152,980.66/378.12
  6. Step 6: Final answer
    x = 404.58

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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.