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Finding the Fourth Proportional to 334.28, 460.96 and 264.22

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Solution

The fourth proportional to 334.28, 460.96 and 264.22 is: 364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 460.96 = 264.22 : x
  2. Step 2: Convert to fraction form
    334.28/460.96 = 264.22/x
  3. Step 3: Cross multiply
    334.28x = 460.96 × 264.22
  4. Step 4: Simplify right side
    334.28x = 121,794.85
  5. Step 5: Solve for x
    x = 121,794.85/334.28
  6. Step 6: Final answer
    x = 364.35

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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.