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Finding the Fourth Proportional to 316.67, 474.26 and 265.64

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Solution

The fourth proportional to 316.67, 474.26 and 265.64 is: 397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.67 : 474.26 = 265.64 : x
  2. Step 2: Convert to fraction form
    316.67/474.26 = 265.64/x
  3. Step 3: Cross multiply
    316.67x = 474.26 × 265.64
  4. Step 4: Simplify right side
    316.67x = 125,978.73
  5. Step 5: Solve for x
    x = 125,978.73/316.67
  6. Step 6: Final answer
    x = 397.83

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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.