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Finding the Fourth Proportional to 404.64, 558.48 and 257.44

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Solution

The fourth proportional to 404.64, 558.48 and 257.44 is: 355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 558.48 = 257.44 : x
  2. Step 2: Convert to fraction form
    404.64/558.48 = 257.44/x
  3. Step 3: Cross multiply
    404.64x = 558.48 × 257.44
  4. Step 4: Simplify right side
    404.64x = 143,775.09
  5. Step 5: Solve for x
    x = 143,775.09/404.64
  6. Step 6: Final answer
    x = 355.32

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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.