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Finding the Fourth Proportional to 393.39, 542.89 and 216.37

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Solution

The fourth proportional to 393.39, 542.89 and 216.37 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.39 : 542.89 = 216.37 : x
  2. Step 2: Convert to fraction form
    393.39/542.89 = 216.37/x
  3. Step 3: Cross multiply
    393.39x = 542.89 × 216.37
  4. Step 4: Simplify right side
    393.39x = 117,464.84
  5. Step 5: Solve for x
    x = 117,464.84/393.39
  6. Step 6: Final answer
    x = 298.60

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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.