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Finding the Fourth Proportional to 393.94, 542.54 and 338.66

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Solution

The fourth proportional to 393.94, 542.54 and 338.66 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.94 : 542.54 = 338.66 : x
  2. Step 2: Convert to fraction form
    393.94/542.54 = 338.66/x
  3. Step 3: Cross multiply
    393.94x = 542.54 × 338.66
  4. Step 4: Simplify right side
    393.94x = 183,736.60
  5. Step 5: Solve for x
    x = 183,736.60/393.94
  6. Step 6: Final answer
    x = 466.41

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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.