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Finding the Fourth Proportional to 566.28, 849.75 and 201.37

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Solution

The fourth proportional to 566.28, 849.75 and 201.37 is: 302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 849.75 = 201.37 : x
  2. Step 2: Convert to fraction form
    566.28/849.75 = 201.37/x
  3. Step 3: Cross multiply
    566.28x = 849.75 × 201.37
  4. Step 4: Simplify right side
    566.28x = 171,114.16
  5. Step 5: Solve for x
    x = 171,114.16/566.28
  6. Step 6: Final answer
    x = 302.17

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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.