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Finding the Fourth Proportional to 404.61, 558.41 and 257.26

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Solution

The fourth proportional to 404.61, 558.41 and 257.26 is: 355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.61 : 558.41 = 257.26 : x
  2. Step 2: Convert to fraction form
    404.61/558.41 = 257.26/x
  3. Step 3: Cross multiply
    404.61x = 558.41 × 257.26
  4. Step 4: Simplify right side
    404.61x = 143,655.80
  5. Step 5: Solve for x
    x = 143,655.80/404.61
  6. Step 6: Final answer
    x = 355.05

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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.