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Finding the Fourth Proportional to 393.19, 542.36 and 299.84

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Solution

The fourth proportional to 393.19, 542.36 and 299.84 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.19 : 542.36 = 299.84 : x
  2. Step 2: Convert to fraction form
    393.19/542.36 = 299.84/x
  3. Step 3: Cross multiply
    393.19x = 542.36 × 299.84
  4. Step 4: Simplify right side
    393.19x = 162,619.26
  5. Step 5: Solve for x
    x = 162,619.26/393.19
  6. Step 6: Final answer
    x = 413.59

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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.