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Finding the Fourth Proportional to 404.64, 558.46 and 257.24

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Solution

The fourth proportional to 404.64, 558.46 and 257.24 is: 355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 558.46 = 257.24 : x
  2. Step 2: Convert to fraction form
    404.64/558.46 = 257.24/x
  3. Step 3: Cross multiply
    404.64x = 558.46 × 257.24
  4. Step 4: Simplify right side
    404.64x = 143,658.25
  5. Step 5: Solve for x
    x = 143,658.25/404.64
  6. Step 6: Final answer
    x = 355.03

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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.