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Finding the Fourth Proportional to 393.14, 542.13 and 338.06

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Solution

The fourth proportional to 393.14, 542.13 and 338.06 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.14 : 542.13 = 338.06 : x
  2. Step 2: Convert to fraction form
    393.14/542.13 = 338.06/x
  3. Step 3: Cross multiply
    393.14x = 542.13 × 338.06
  4. Step 4: Simplify right side
    393.14x = 183,272.47
  5. Step 5: Solve for x
    x = 183,272.47/393.14
  6. Step 6: Final answer
    x = 466.18

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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.