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Finding the Fourth Proportional to 393.00, 542.41 and 253.29

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Solution

The fourth proportional to 393.00, 542.41 and 253.29 is: 349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.00 : 542.41 = 253.29 : x
  2. Step 2: Convert to fraction form
    393.00/542.41 = 253.29/x
  3. Step 3: Cross multiply
    393.00x = 542.41 × 253.29
  4. Step 4: Simplify right side
    393.00x = 137,389.85
  5. Step 5: Solve for x
    x = 137,389.85/393.00
  6. Step 6: Final answer
    x = 349.59

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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.