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Finding the Fourth Proportional to 411.26, 616.46 and 228.74

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Solution

The fourth proportional to 411.26, 616.46 and 228.74 is: 342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 616.46 = 228.74 : x
  2. Step 2: Convert to fraction form
    411.26/616.46 = 228.74/x
  3. Step 3: Cross multiply
    411.26x = 616.46 × 228.74
  4. Step 4: Simplify right side
    411.26x = 141,009.06
  5. Step 5: Solve for x
    x = 141,009.06/411.26
  6. Step 6: Final answer
    x = 342.87

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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.