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Finding the Fourth Proportional to 566.74, 849.50 and 201.28

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Solution

The fourth proportional to 566.74, 849.50 and 201.28 is: 301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.74 : 849.50 = 201.28 : x
  2. Step 2: Convert to fraction form
    566.74/849.50 = 201.28/x
  3. Step 3: Cross multiply
    566.74x = 849.50 × 201.28
  4. Step 4: Simplify right side
    566.74x = 170,987.36
  5. Step 5: Solve for x
    x = 170,987.36/566.74
  6. Step 6: Final answer
    x = 301.70

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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.