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Finding the Fourth Proportional to 399.06, 594.57 and 378.09

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Solution

The fourth proportional to 399.06, 594.57 and 378.09 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.06 : 594.57 = 378.09 : x
  2. Step 2: Convert to fraction form
    399.06/594.57 = 378.09/x
  3. Step 3: Cross multiply
    399.06x = 594.57 × 378.09
  4. Step 4: Simplify right side
    399.06x = 224,800.97
  5. Step 5: Solve for x
    x = 224,800.97/399.06
  6. Step 6: Final answer
    x = 563.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.