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Finding the Fourth Proportional to 467.45, 645.09 and 270.97

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Solution

The fourth proportional to 467.45, 645.09 and 270.97 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.45 : 645.09 = 270.97 : x
  2. Step 2: Convert to fraction form
    467.45/645.09 = 270.97/x
  3. Step 3: Cross multiply
    467.45x = 645.09 × 270.97
  4. Step 4: Simplify right side
    467.45x = 174,800.04
  5. Step 5: Solve for x
    x = 174,800.04/467.45
  6. Step 6: Final answer
    x = 373.94

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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.