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Finding the Fourth Proportional to 565.87, 849.09 and 241.15

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Solution

The fourth proportional to 565.87, 849.09 and 241.15 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.87 : 849.09 = 241.15 : x
  2. Step 2: Convert to fraction form
    565.87/849.09 = 241.15/x
  3. Step 3: Cross multiply
    565.87x = 849.09 × 241.15
  4. Step 4: Simplify right side
    565.87x = 204,753.81
  5. Step 5: Solve for x
    x = 204,753.81/565.87
  6. Step 6: Final answer
    x = 361.84

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Why These Related Problems?

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