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Finding the Fourth Proportional to 404.55, 558.29 and 227.53

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Solution

The fourth proportional to 404.55, 558.29 and 227.53 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.55 : 558.29 = 227.53 : x
  2. Step 2: Convert to fraction form
    404.55/558.29 = 227.53/x
  3. Step 3: Cross multiply
    404.55x = 558.29 × 227.53
  4. Step 4: Simplify right side
    404.55x = 127,027.72
  5. Step 5: Solve for x
    x = 127,027.72/404.55
  6. Step 6: Final answer
    x = 314.00

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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.