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Finding the Fourth Proportional to 410.75, 614.57 and 228.27

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Solution

The fourth proportional to 410.75, 614.57 and 228.27 is: 341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 614.57 = 228.27 : x
  2. Step 2: Convert to fraction form
    410.75/614.57 = 228.27/x
  3. Step 3: Cross multiply
    410.75x = 614.57 × 228.27
  4. Step 4: Simplify right side
    410.75x = 140,286.75
  5. Step 5: Solve for x
    x = 140,286.75/410.75
  6. Step 6: Final answer
    x = 341.54

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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.