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Finding the Fourth Proportional to 404.36, 557.78 and 355.36

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Solution

The fourth proportional to 404.36, 557.78 and 355.36 is: 490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 557.78 = 355.36 : x
  2. Step 2: Convert to fraction form
    404.36/557.78 = 355.36/x
  3. Step 3: Cross multiply
    404.36x = 557.78 × 355.36
  4. Step 4: Simplify right side
    404.36x = 198,212.70
  5. Step 5: Solve for x
    x = 198,212.70/404.36
  6. Step 6: Final answer
    x = 490.19

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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.