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Finding the Fourth Proportional to 565.11, 843.38 and 550.53

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Solution

The fourth proportional to 565.11, 843.38 and 550.53 is: 821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.11 : 843.38 = 550.53 : x
  2. Step 2: Convert to fraction form
    565.11/843.38 = 550.53/x
  3. Step 3: Cross multiply
    565.11x = 843.38 × 550.53
  4. Step 4: Simplify right side
    565.11x = 464,305.30
  5. Step 5: Solve for x
    x = 464,305.30/565.11
  6. Step 6: Final answer
    x = 821.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.