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Finding the Fourth Proportional to 392.72, 541.37 and 299.26

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Solution

The fourth proportional to 392.72, 541.37 and 299.26 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 541.37 = 299.26 : x
  2. Step 2: Convert to fraction form
    392.72/541.37 = 299.26/x
  3. Step 3: Cross multiply
    392.72x = 541.37 × 299.26
  4. Step 4: Simplify right side
    392.72x = 162,009.87
  5. Step 5: Solve for x
    x = 162,009.87/392.72
  6. Step 6: Final answer
    x = 412.53

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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.