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Finding the Fourth Proportional to 578.30, 798.12 and 342.29

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Solution

The fourth proportional to 578.30, 798.12 and 342.29 is: 472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 798.12 = 342.29 : x
  2. Step 2: Convert to fraction form
    578.30/798.12 = 342.29/x
  3. Step 3: Cross multiply
    578.30x = 798.12 × 342.29
  4. Step 4: Simplify right side
    578.30x = 273,190.49
  5. Step 5: Solve for x
    x = 273,190.49/578.30
  6. Step 6: Final answer
    x = 472.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.