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Finding the Fourth Proportional to 348.68, 523.13 and 239.46

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Solution

The fourth proportional to 348.68, 523.13 and 239.46 is: 359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 523.13 = 239.46 : x
  2. Step 2: Convert to fraction form
    348.68/523.13 = 239.46/x
  3. Step 3: Cross multiply
    348.68x = 523.13 × 239.46
  4. Step 4: Simplify right side
    348.68x = 125,268.71
  5. Step 5: Solve for x
    x = 125,268.71/348.68
  6. Step 6: Final answer
    x = 359.27

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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.