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Finding the Fourth Proportional to 346.48, 519.36 and 238.24

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Solution

The fourth proportional to 346.48, 519.36 and 238.24 is: 357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 519.36 = 238.24 : x
  2. Step 2: Convert to fraction form
    346.48/519.36 = 238.24/x
  3. Step 3: Cross multiply
    346.48x = 519.36 × 238.24
  4. Step 4: Simplify right side
    346.48x = 123,732.33
  5. Step 5: Solve for x
    x = 123,732.33/346.48
  6. Step 6: Final answer
    x = 357.11

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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.