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Finding the Fourth Proportional to 563.26, 844.27 and 368.18

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Solution

The fourth proportional to 563.26, 844.27 and 368.18 is: 551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 844.27 = 368.18 : x
  2. Step 2: Convert to fraction form
    563.26/844.27 = 368.18/x
  3. Step 3: Cross multiply
    563.26x = 844.27 × 368.18
  4. Step 4: Simplify right side
    563.26x = 310,843.33
  5. Step 5: Solve for x
    x = 310,843.33/563.26
  6. Step 6: Final answer
    x = 551.86

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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.