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Finding the Fourth Proportional to 404.75, 558.56 and 220.75

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Solution

The fourth proportional to 404.75, 558.56 and 220.75 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.75 : 558.56 = 220.75 : x
  2. Step 2: Convert to fraction form
    404.75/558.56 = 220.75/x
  3. Step 3: Cross multiply
    404.75x = 558.56 × 220.75
  4. Step 4: Simplify right side
    404.75x = 123,302.12
  5. Step 5: Solve for x
    x = 123,302.12/404.75
  6. Step 6: Final answer
    x = 304.64

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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.