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Finding the Fourth Proportional to 565.96, 849.36 and 200.80

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Solution

The fourth proportional to 565.96, 849.36 and 200.80 is: 301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 849.36 = 200.80 : x
  2. Step 2: Convert to fraction form
    565.96/849.36 = 200.80/x
  3. Step 3: Cross multiply
    565.96x = 849.36 × 200.80
  4. Step 4: Simplify right side
    565.96x = 170,551.49
  5. Step 5: Solve for x
    x = 170,551.49/565.96
  6. Step 6: Final answer
    x = 301.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.