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Finding the Fourth Proportional to 563.82, 845.64 and 348.72

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Solution

The fourth proportional to 563.82, 845.64 and 348.72 is: 523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 845.64 = 348.72 : x
  2. Step 2: Convert to fraction form
    563.82/845.64 = 348.72/x
  3. Step 3: Cross multiply
    563.82x = 845.64 × 348.72
  4. Step 4: Simplify right side
    563.82x = 294,891.58
  5. Step 5: Solve for x
    x = 294,891.58/563.82
  6. Step 6: Final answer
    x = 523.02

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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.