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Finding the Fourth Proportional to 563.25, 777.30 and 367.11

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Solution

The fourth proportional to 563.25, 777.30 and 367.11 is: 506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 777.30 = 367.11 : x
  2. Step 2: Convert to fraction form
    563.25/777.30 = 367.11/x
  3. Step 3: Cross multiply
    563.25x = 777.30 × 367.11
  4. Step 4: Simplify right side
    563.25x = 285,354.60
  5. Step 5: Solve for x
    x = 285,354.60/563.25
  6. Step 6: Final answer
    x = 506.62

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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.