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Finding the Fourth Proportional to 563.17, 844.95 and 409.27

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Solution

The fourth proportional to 563.17, 844.95 and 409.27 is: 614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.17 : 844.95 = 409.27 : x
  2. Step 2: Convert to fraction form
    563.17/844.95 = 409.27/x
  3. Step 3: Cross multiply
    563.17x = 844.95 × 409.27
  4. Step 4: Simplify right side
    563.17x = 345,812.69
  5. Step 5: Solve for x
    x = 345,812.69/563.17
  6. Step 6: Final answer
    x = 614.05

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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.