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Finding the Fourth Proportional to 348.14, 520.86 and 239.60

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Solution

The fourth proportional to 348.14, 520.86 and 239.60 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 520.86 = 239.60 : x
  2. Step 2: Convert to fraction form
    348.14/520.86 = 239.60/x
  3. Step 3: Cross multiply
    348.14x = 520.86 × 239.60
  4. Step 4: Simplify right side
    348.14x = 124,798.06
  5. Step 5: Solve for x
    x = 124,798.06/348.14
  6. Step 6: Final answer
    x = 358.47

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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.