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Finding the Fourth Proportional to 565.99, 849 and 269.44

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Solution

The fourth proportional to 565.99, 849 and 269.44 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.99 : 849 = 269.44 : x
  2. Step 2: Convert to fraction form
    565.99/849 = 269.44/x
  3. Step 3: Cross multiply
    565.99x = 849 × 269.44
  4. Step 4: Simplify right side
    565.99x = 228,752.44
  5. Step 5: Solve for x
    x = 228,752.44/565.99
  6. Step 6: Final answer
    x = 404.17

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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.