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Finding the Fourth Proportional to 394.24, 542.40 and 356.80

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Solution

The fourth proportional to 394.24, 542.40 and 356.80 is: 490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 542.40 = 356.80 : x
  2. Step 2: Convert to fraction form
    394.24/542.40 = 356.80/x
  3. Step 3: Cross multiply
    394.24x = 542.40 × 356.80
  4. Step 4: Simplify right side
    394.24x = 193,528.32
  5. Step 5: Solve for x
    x = 193,528.32/394.24
  6. Step 6: Final answer
    x = 490.89

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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.