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Finding the Fourth Proportional to 563.92, 845.68 and 235.04

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Solution

The fourth proportional to 563.92, 845.68 and 235.04 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.92 : 845.68 = 235.04 : x
  2. Step 2: Convert to fraction form
    563.92/845.68 = 235.04/x
  3. Step 3: Cross multiply
    563.92x = 845.68 × 235.04
  4. Step 4: Simplify right side
    563.92x = 198,768.63
  5. Step 5: Solve for x
    x = 198,768.63/563.92
  6. Step 6: Final answer
    x = 352.48

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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.