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Finding the Fourth Proportional to 404.21, 557.60 and 256.92

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Solution

The fourth proportional to 404.21, 557.60 and 256.92 is: 354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.21 : 557.60 = 256.92 : x
  2. Step 2: Convert to fraction form
    404.21/557.60 = 256.92/x
  3. Step 3: Cross multiply
    404.21x = 557.60 × 256.92
  4. Step 4: Simplify right side
    404.21x = 143,257.31
  5. Step 5: Solve for x
    x = 143,257.31/404.21
  6. Step 6: Final answer
    x = 354.42

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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.