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Finding the Fourth Proportional to 563.60, 777.42 and 367.07

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Solution

The fourth proportional to 563.60, 777.42 and 367.07 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 777.42 = 367.07 : x
  2. Step 2: Convert to fraction form
    563.60/777.42 = 367.07/x
  3. Step 3: Cross multiply
    563.60x = 777.42 × 367.07
  4. Step 4: Simplify right side
    563.60x = 285,367.56
  5. Step 5: Solve for x
    x = 285,367.56/563.60
  6. Step 6: Final answer
    x = 506.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.