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Finding the Fourth Proportional to 338.64, 466.32 and 264.64

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Solution

The fourth proportional to 338.64, 466.32 and 264.64 is: 364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 466.32 = 264.64 : x
  2. Step 2: Convert to fraction form
    338.64/466.32 = 264.64/x
  3. Step 3: Cross multiply
    338.64x = 466.32 × 264.64
  4. Step 4: Simplify right side
    338.64x = 123,406.92
  5. Step 5: Solve for x
    x = 123,406.92/338.64
  6. Step 6: Final answer
    x = 364.42

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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.