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Finding the Fourth Proportional to 292.97, 440.13 and 270.41

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Solution

The fourth proportional to 292.97, 440.13 and 270.41 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.97 : 440.13 = 270.41 : x
  2. Step 2: Convert to fraction form
    292.97/440.13 = 270.41/x
  3. Step 3: Cross multiply
    292.97x = 440.13 × 270.41
  4. Step 4: Simplify right side
    292.97x = 119,018.08
  5. Step 5: Solve for x
    x = 119,018.08/292.97
  6. Step 6: Final answer
    x = 406.25

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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.