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Finding the Fourth Proportional to 411.64, 617.52 and 228.96

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Solution

The fourth proportional to 411.64, 617.52 and 228.96 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 617.52 = 228.96 : x
  2. Step 2: Convert to fraction form
    411.64/617.52 = 228.96/x
  3. Step 3: Cross multiply
    411.64x = 617.52 × 228.96
  4. Step 4: Simplify right side
    411.64x = 141,387.38
  5. Step 5: Solve for x
    x = 141,387.38/411.64
  6. Step 6: Final answer
    x = 343.47

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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.