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Finding the Fourth Proportional to 566.77, 850.17 and 201.59

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Solution

The fourth proportional to 566.77, 850.17 and 201.59 is: 302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.77 : 850.17 = 201.59 : x
  2. Step 2: Convert to fraction form
    566.77/850.17 = 201.59/x
  3. Step 3: Cross multiply
    566.77x = 850.17 × 201.59
  4. Step 4: Simplify right side
    566.77x = 171,384.90
  5. Step 5: Solve for x
    x = 171,384.90/566.77
  6. Step 6: Final answer
    x = 302.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.