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Finding the Fourth Proportional to 563.40, 844.29 and 367.83

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Solution

The fourth proportional to 563.40, 844.29 and 367.83 is: 551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 844.29 = 367.83 : x
  2. Step 2: Convert to fraction form
    563.40/844.29 = 367.83/x
  3. Step 3: Cross multiply
    563.40x = 844.29 × 367.83
  4. Step 4: Simplify right side
    563.40x = 310,555.19
  5. Step 5: Solve for x
    x = 310,555.19/563.40
  6. Step 6: Final answer
    x = 551.22

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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.