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Finding the Fourth Proportional to 563.04, 843.39 and 409.23

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Solution

The fourth proportional to 563.04, 843.39 and 409.23 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.04 : 843.39 = 409.23 : x
  2. Step 2: Convert to fraction form
    563.04/843.39 = 409.23/x
  3. Step 3: Cross multiply
    563.04x = 843.39 × 409.23
  4. Step 4: Simplify right side
    563.04x = 345,140.49
  5. Step 5: Solve for x
    x = 345,140.49/563.04
  6. Step 6: Final answer
    x = 612.99

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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.