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Finding the Fourth Proportional to 391.82, 540.41 and 242.36

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Solution

The fourth proportional to 391.82, 540.41 and 242.36 is: 334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.82 : 540.41 = 242.36 : x
  2. Step 2: Convert to fraction form
    391.82/540.41 = 242.36/x
  3. Step 3: Cross multiply
    391.82x = 540.41 × 242.36
  4. Step 4: Simplify right side
    391.82x = 130,971.67
  5. Step 5: Solve for x
    x = 130,971.67/391.82
  6. Step 6: Final answer
    x = 334.27

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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.