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Finding the Fourth Proportional to 352.64, 527.73 and 311.33

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Solution

The fourth proportional to 352.64, 527.73 and 311.33 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.64 : 527.73 = 311.33 : x
  2. Step 2: Convert to fraction form
    352.64/527.73 = 311.33/x
  3. Step 3: Cross multiply
    352.64x = 527.73 × 311.33
  4. Step 4: Simplify right side
    352.64x = 164,295.54
  5. Step 5: Solve for x
    x = 164,295.54/352.64
  6. Step 6: Final answer
    x = 465.91

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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.