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Finding the Fourth Proportional to 404.82, 558.65 and 227.77

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Solution

The fourth proportional to 404.82, 558.65 and 227.77 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.82 : 558.65 = 227.77 : x
  2. Step 2: Convert to fraction form
    404.82/558.65 = 227.77/x
  3. Step 3: Cross multiply
    404.82x = 558.65 × 227.77
  4. Step 4: Simplify right side
    404.82x = 127,242.88
  5. Step 5: Solve for x
    x = 127,242.88/404.82
  6. Step 6: Final answer
    x = 314.32

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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.