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Finding the Fourth Proportional to 393.14, 542.08 and 369.30

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Solution

The fourth proportional to 393.14, 542.08 and 369.30 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.14 : 542.08 = 369.30 : x
  2. Step 2: Convert to fraction form
    393.14/542.08 = 369.30/x
  3. Step 3: Cross multiply
    393.14x = 542.08 × 369.30
  4. Step 4: Simplify right side
    393.14x = 200,192.64
  5. Step 5: Solve for x
    x = 200,192.64/393.14
  6. Step 6: Final answer
    x = 509.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.