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Finding the Fourth Proportional to 392.84, 541.89 and 245.21

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Solution

The fourth proportional to 392.84, 541.89 and 245.21 is: 338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 541.89 = 245.21 : x
  2. Step 2: Convert to fraction form
    392.84/541.89 = 245.21/x
  3. Step 3: Cross multiply
    392.84x = 541.89 × 245.21
  4. Step 4: Simplify right side
    392.84x = 132,879.47
  5. Step 5: Solve for x
    x = 132,879.47/392.84
  6. Step 6: Final answer
    x = 338.26

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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.