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Finding the Fourth Proportional to 565.95, 849.06 and 200.73

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Solution

The fourth proportional to 565.95, 849.06 and 200.73 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.95 : 849.06 = 200.73 : x
  2. Step 2: Convert to fraction form
    565.95/849.06 = 200.73/x
  3. Step 3: Cross multiply
    565.95x = 849.06 × 200.73
  4. Step 4: Simplify right side
    565.95x = 170,431.81
  5. Step 5: Solve for x
    x = 170,431.81/565.95
  6. Step 6: Final answer
    x = 301.14

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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.