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Finding the Fourth Proportional to 393.36, 588.61 and 342.19

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Solution

The fourth proportional to 393.36, 588.61 and 342.19 is: 512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.36 : 588.61 = 342.19 : x
  2. Step 2: Convert to fraction form
    393.36/588.61 = 342.19/x
  3. Step 3: Cross multiply
    393.36x = 588.61 × 342.19
  4. Step 4: Simplify right side
    393.36x = 201,416.46
  5. Step 5: Solve for x
    x = 201,416.46/393.36
  6. Step 6: Final answer
    x = 512.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.