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Finding the Fourth Proportional to 378.31, 566.92 and 215.65

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Solution

The fourth proportional to 378.31, 566.92 and 215.65 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.31 : 566.92 = 215.65 : x
  2. Step 2: Convert to fraction form
    378.31/566.92 = 215.65/x
  3. Step 3: Cross multiply
    378.31x = 566.92 × 215.65
  4. Step 4: Simplify right side
    378.31x = 122,256.30
  5. Step 5: Solve for x
    x = 122,256.30/378.31
  6. Step 6: Final answer
    x = 323.16

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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.