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Finding the Fourth Proportional to 404.59, 558.34 and 227.57

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Solution

The fourth proportional to 404.59, 558.34 and 227.57 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.59 : 558.34 = 227.57 : x
  2. Step 2: Convert to fraction form
    404.59/558.34 = 227.57/x
  3. Step 3: Cross multiply
    404.59x = 558.34 × 227.57
  4. Step 4: Simplify right side
    404.59x = 127,061.43
  5. Step 5: Solve for x
    x = 127,061.43/404.59
  6. Step 6: Final answer
    x = 314.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.