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Finding the Fourth Proportional to 566.38, 849.36 and 201.07

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Solution

The fourth proportional to 566.38, 849.36 and 201.07 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 849.36 = 201.07 : x
  2. Step 2: Convert to fraction form
    566.38/849.36 = 201.07/x
  3. Step 3: Cross multiply
    566.38x = 849.36 × 201.07
  4. Step 4: Simplify right side
    566.38x = 170,776.57
  5. Step 5: Solve for x
    x = 170,776.57/566.38
  6. Step 6: Final answer
    x = 301.53

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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.