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Finding the Fourth Proportional to 404.56, 557.82 and 257.14

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Solution

The fourth proportional to 404.56, 557.82 and 257.14 is: 354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.56 : 557.82 = 257.14 : x
  2. Step 2: Convert to fraction form
    404.56/557.82 = 257.14/x
  3. Step 3: Cross multiply
    404.56x = 557.82 × 257.14
  4. Step 4: Simplify right side
    404.56x = 143,437.83
  5. Step 5: Solve for x
    x = 143,437.83/404.56
  6. Step 6: Final answer
    x = 354.55

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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.