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Finding the Fourth Proportional to 563.87, 846.17 and 271.37

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Solution

The fourth proportional to 563.87, 846.17 and 271.37 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 846.17 = 271.37 : x
  2. Step 2: Convert to fraction form
    563.87/846.17 = 271.37/x
  3. Step 3: Cross multiply
    563.87x = 846.17 × 271.37
  4. Step 4: Simplify right side
    563.87x = 229,625.15
  5. Step 5: Solve for x
    x = 229,625.15/563.87
  6. Step 6: Final answer
    x = 407.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.