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Finding the Fourth Proportional to 563.82, 846.09 and 275.10

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Solution

The fourth proportional to 563.82, 846.09 and 275.10 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 846.09 = 275.10 : x
  2. Step 2: Convert to fraction form
    563.82/846.09 = 275.10/x
  3. Step 3: Cross multiply
    563.82x = 846.09 × 275.10
  4. Step 4: Simplify right side
    563.82x = 232,759.36
  5. Step 5: Solve for x
    x = 232,759.36/563.82
  6. Step 6: Final answer
    x = 412.83

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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.