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Finding the Fourth Proportional to 332.58, 497.73 and 255.09

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Solution

The fourth proportional to 332.58, 497.73 and 255.09 is: 381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.58 : 497.73 = 255.09 : x
  2. Step 2: Convert to fraction form
    332.58/497.73 = 255.09/x
  3. Step 3: Cross multiply
    332.58x = 497.73 × 255.09
  4. Step 4: Simplify right side
    332.58x = 126,965.95
  5. Step 5: Solve for x
    x = 126,965.95/332.58
  6. Step 6: Final answer
    x = 381.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.