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Finding the Fourth Proportional to 404.14, 557.80 and 338.54

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Solution

The fourth proportional to 404.14, 557.80 and 338.54 is: 467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 557.80 = 338.54 : x
  2. Step 2: Convert to fraction form
    404.14/557.80 = 338.54/x
  3. Step 3: Cross multiply
    404.14x = 557.80 × 338.54
  4. Step 4: Simplify right side
    404.14x = 188,837.61
  5. Step 5: Solve for x
    x = 188,837.61/404.14
  6. Step 6: Final answer
    x = 467.26

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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.