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Finding the Fourth Proportional to 563.39, 845.10 and 274.64

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Solution

The fourth proportional to 563.39, 845.10 and 274.64 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.39 : 845.10 = 274.64 : x
  2. Step 2: Convert to fraction form
    563.39/845.10 = 274.64/x
  3. Step 3: Cross multiply
    563.39x = 845.10 × 274.64
  4. Step 4: Simplify right side
    563.39x = 232,098.26
  5. Step 5: Solve for x
    x = 232,098.26/563.39
  6. Step 6: Final answer
    x = 411.97

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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.