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Finding the Fourth Proportional to 566.96, 850.42 and 201.66

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Solution

The fourth proportional to 566.96, 850.42 and 201.66 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 850.42 = 201.66 : x
  2. Step 2: Convert to fraction form
    566.96/850.42 = 201.66/x
  3. Step 3: Cross multiply
    566.96x = 850.42 × 201.66
  4. Step 4: Simplify right side
    566.96x = 171,495.70
  5. Step 5: Solve for x
    x = 171,495.70/566.96
  6. Step 6: Final answer
    x = 302.48

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Double scale
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Similar ratio
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1.5x scale

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.