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Finding the Fourth Proportional to 445.59, 614.92 and 270.97

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Solution

The fourth proportional to 445.59, 614.92 and 270.97 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.59 : 614.92 = 270.97 : x
  2. Step 2: Convert to fraction form
    445.59/614.92 = 270.97/x
  3. Step 3: Cross multiply
    445.59x = 614.92 × 270.97
  4. Step 4: Simplify right side
    445.59x = 166,625.47
  5. Step 5: Solve for x
    x = 166,625.47/445.59
  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.