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Finding the Fourth Proportional to 346.48, 519.82 and 216.27

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Solution

The fourth proportional to 346.48, 519.82 and 216.27 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 519.82 = 216.27 : x
  2. Step 2: Convert to fraction form
    346.48/519.82 = 216.27/x
  3. Step 3: Cross multiply
    346.48x = 519.82 × 216.27
  4. Step 4: Simplify right side
    346.48x = 112,420.93
  5. Step 5: Solve for x
    x = 112,420.93/346.48
  6. Step 6: Final answer
    x = 324.47

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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.