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Finding the Fourth Proportional to 404.88, 558.50 and 257.24

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Solution

The fourth proportional to 404.88, 558.50 and 257.24 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 558.50 = 257.24 : x
  2. Step 2: Convert to fraction form
    404.88/558.50 = 257.24/x
  3. Step 3: Cross multiply
    404.88x = 558.50 × 257.24
  4. Step 4: Simplify right side
    404.88x = 143,668.54
  5. Step 5: Solve for x
    x = 143,668.54/404.88
  6. Step 6: Final answer
    x = 354.84

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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.