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Finding the Fourth Proportional to 392.85, 541.89 and 268.29

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Solution

The fourth proportional to 392.85, 541.89 and 268.29 is: 370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 541.89 = 268.29 : x
  2. Step 2: Convert to fraction form
    392.85/541.89 = 268.29/x
  3. Step 3: Cross multiply
    392.85x = 541.89 × 268.29
  4. Step 4: Simplify right side
    392.85x = 145,383.67
  5. Step 5: Solve for x
    x = 145,383.67/392.85
  6. Step 6: Final answer
    x = 370.07

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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.