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Finding the Fourth Proportional to 346.83, 519.51 and 224.73

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Solution

The fourth proportional to 346.83, 519.51 and 224.73 is: 336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.83 : 519.51 = 224.73 : x
  2. Step 2: Convert to fraction form
    346.83/519.51 = 224.73/x
  3. Step 3: Cross multiply
    346.83x = 519.51 × 224.73
  4. Step 4: Simplify right side
    346.83x = 116,749.48
  5. Step 5: Solve for x
    x = 116,749.48/346.83
  6. Step 6: Final answer
    x = 336.62

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Why These Related Problems?

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