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Finding the Fourth Proportional to 394.08, 590.64 and 201.28

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Solution

The fourth proportional to 394.08, 590.64 and 201.28 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 590.64 = 201.28 : x
  2. Step 2: Convert to fraction form
    394.08/590.64 = 201.28/x
  3. Step 3: Cross multiply
    394.08x = 590.64 × 201.28
  4. Step 4: Simplify right side
    394.08x = 118,884.02
  5. Step 5: Solve for x
    x = 118,884.02/394.08
  6. Step 6: Final answer
    x = 301.67

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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.