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Finding the Fourth Proportional to 566.99, 850.64 and 201.77

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Solution

The fourth proportional to 566.99, 850.64 and 201.77 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 850.64 = 201.77 : x
  2. Step 2: Convert to fraction form
    566.99/850.64 = 201.77/x
  3. Step 3: Cross multiply
    566.99x = 850.64 × 201.77
  4. Step 4: Simplify right side
    566.99x = 171,628.37
  5. Step 5: Solve for x
    x = 171,628.37/566.99
  6. Step 6: Final answer
    x = 302.70

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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.