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Finding the Fourth Proportional to 338.52, 465.96 and 289.32

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Solution

The fourth proportional to 338.52, 465.96 and 289.32 is: 398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 465.96 = 289.32 : x
  2. Step 2: Convert to fraction form
    338.52/465.96 = 289.32/x
  3. Step 3: Cross multiply
    338.52x = 465.96 × 289.32
  4. Step 4: Simplify right side
    338.52x = 134,811.55
  5. Step 5: Solve for x
    x = 134,811.55/338.52
  6. Step 6: Final answer
    x = 398.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.