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Finding the Fourth Proportional to 467.57, 645.25 and 257.74

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Solution

The fourth proportional to 467.57, 645.25 and 257.74 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.57 : 645.25 = 257.74 : x
  2. Step 2: Convert to fraction form
    467.57/645.25 = 257.74/x
  3. Step 3: Cross multiply
    467.57x = 645.25 × 257.74
  4. Step 4: Simplify right side
    467.57x = 166,306.09
  5. Step 5: Solve for x
    x = 166,306.09/467.57
  6. Step 6: Final answer
    x = 355.68

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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.