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Finding the Fourth Proportional to 404.97, 558.90 and 257.68

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Solution

The fourth proportional to 404.97, 558.90 and 257.68 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.97 : 558.90 = 257.68 : x
  2. Step 2: Convert to fraction form
    404.97/558.90 = 257.68/x
  3. Step 3: Cross multiply
    404.97x = 558.90 × 257.68
  4. Step 4: Simplify right side
    404.97x = 144,018.05
  5. Step 5: Solve for x
    x = 144,018.05/404.97
  6. Step 6: Final answer
    x = 355.63

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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.