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Finding the Fourth Proportional to 410.08, 614.96 and 227.56

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Solution

The fourth proportional to 410.08, 614.96 and 227.56 is: 341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 614.96 = 227.56 : x
  2. Step 2: Convert to fraction form
    410.08/614.96 = 227.56/x
  3. Step 3: Cross multiply
    410.08x = 614.96 × 227.56
  4. Step 4: Simplify right side
    410.08x = 139,940.30
  5. Step 5: Solve for x
    x = 139,940.30/410.08
  6. Step 6: Final answer
    x = 341.25

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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.