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Finding the Fourth Proportional to 565.91, 849.14 and 200.87

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Solution

The fourth proportional to 565.91, 849.14 and 200.87 is: 301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 849.14 = 200.87 : x
  2. Step 2: Convert to fraction form
    565.91/849.14 = 200.87/x
  3. Step 3: Cross multiply
    565.91x = 849.14 × 200.87
  4. Step 4: Simplify right side
    565.91x = 170,566.75
  5. Step 5: Solve for x
    x = 170,566.75/565.91
  6. Step 6: Final answer
    x = 301.40

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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.