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Finding the Fourth Proportional to 332.94, 457.56 and 270.66

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Solution

The fourth proportional to 332.94, 457.56 and 270.66 is: 371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.94 : 457.56 = 270.66 : x
  2. Step 2: Convert to fraction form
    332.94/457.56 = 270.66/x
  3. Step 3: Cross multiply
    332.94x = 457.56 × 270.66
  4. Step 4: Simplify right side
    332.94x = 123,843.19
  5. Step 5: Solve for x
    x = 123,843.19/332.94
  6. Step 6: Final answer
    x = 371.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.