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Finding the Fourth Proportional to 378.30, 566.22 and 324.24

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Solution

The fourth proportional to 378.30, 566.22 and 324.24 is: 485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.30 : 566.22 = 324.24 : x
  2. Step 2: Convert to fraction form
    378.30/566.22 = 324.24/x
  3. Step 3: Cross multiply
    378.30x = 566.22 × 324.24
  4. Step 4: Simplify right side
    378.30x = 183,591.17
  5. Step 5: Solve for x
    x = 183,591.17/378.30
  6. Step 6: Final answer
    x = 485.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.