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Finding the Fourth Proportional to 411.48, 617.42 and 228.96

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Solution

The fourth proportional to 411.48, 617.42 and 228.96 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 617.42 = 228.96 : x
  2. Step 2: Convert to fraction form
    411.48/617.42 = 228.96/x
  3. Step 3: Cross multiply
    411.48x = 617.42 × 228.96
  4. Step 4: Simplify right side
    411.48x = 141,365.06
  5. Step 5: Solve for x
    x = 141,365.06/411.48
  6. Step 6: Final answer
    x = 343.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.