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Finding the Fourth Proportional to 393.63, 542.69 and 338.96

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Solution

The fourth proportional to 393.63, 542.69 and 338.96 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.63 : 542.69 = 338.96 : x
  2. Step 2: Convert to fraction form
    393.63/542.69 = 338.96/x
  3. Step 3: Cross multiply
    393.63x = 542.69 × 338.96
  4. Step 4: Simplify right side
    393.63x = 183,945.79
  5. Step 5: Solve for x
    x = 183,945.79/393.63
  6. Step 6: Final answer
    x = 467.31

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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.