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Finding the Fourth Proportional to 566.88, 850.41 and 201.77

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Solution

The fourth proportional to 566.88, 850.41 and 201.77 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 850.41 = 201.77 : x
  2. Step 2: Convert to fraction form
    566.88/850.41 = 201.77/x
  3. Step 3: Cross multiply
    566.88x = 850.41 × 201.77
  4. Step 4: Simplify right side
    566.88x = 171,581.96
  5. Step 5: Solve for x
    x = 171,581.96/566.88
  6. Step 6: Final answer
    x = 302.68

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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.