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Finding the Fourth Proportional to 467.61, 645.32 and 257.81

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Solution

The fourth proportional to 467.61, 645.32 and 257.81 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.61 : 645.32 = 257.81 : x
  2. Step 2: Convert to fraction form
    467.61/645.32 = 257.81/x
  3. Step 3: Cross multiply
    467.61x = 645.32 × 257.81
  4. Step 4: Simplify right side
    467.61x = 166,367.73
  5. Step 5: Solve for x
    x = 166,367.73/467.61
  6. Step 6: Final answer
    x = 355.79

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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.