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Finding the Fourth Proportional to 392.11, 540.48 and 370.24

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Solution

The fourth proportional to 392.11, 540.48 and 370.24 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.11 : 540.48 = 370.24 : x
  2. Step 2: Convert to fraction form
    392.11/540.48 = 370.24/x
  3. Step 3: Cross multiply
    392.11x = 540.48 × 370.24
  4. Step 4: Simplify right side
    392.11x = 200,107.32
  5. Step 5: Solve for x
    x = 200,107.32/392.11
  6. Step 6: Final answer
    x = 510.33

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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.