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Finding the Fourth Proportional to 563.20, 776.92 and 366.38

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Solution

The fourth proportional to 563.20, 776.92 and 366.38 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 776.92 = 366.38 : x
  2. Step 2: Convert to fraction form
    563.20/776.92 = 366.38/x
  3. Step 3: Cross multiply
    563.20x = 776.92 × 366.38
  4. Step 4: Simplify right side
    563.20x = 284,647.95
  5. Step 5: Solve for x
    x = 284,647.95/563.20
  6. Step 6: Final answer
    x = 505.41

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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.