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Finding the Fourth Proportional to 404.41, 558.14 and 229.75

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Solution

The fourth proportional to 404.41, 558.14 and 229.75 is: 317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.41 : 558.14 = 229.75 : x
  2. Step 2: Convert to fraction form
    404.41/558.14 = 229.75/x
  3. Step 3: Cross multiply
    404.41x = 558.14 × 229.75
  4. Step 4: Simplify right side
    404.41x = 128,232.67
  5. Step 5: Solve for x
    x = 128,232.67/404.41
  6. Step 6: Final answer
    x = 317.09

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