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Finding the Fourth Proportional to 404.76, 558.50 and 257.42

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Solution

The fourth proportional to 404.76, 558.50 and 257.42 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 558.50 = 257.42 : x
  2. Step 2: Convert to fraction form
    404.76/558.50 = 257.42/x
  3. Step 3: Cross multiply
    404.76x = 558.50 × 257.42
  4. Step 4: Simplify right side
    404.76x = 143,769.07
  5. Step 5: Solve for x
    x = 143,769.07/404.76
  6. Step 6: Final answer
    x = 355.20

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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.