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Finding the Fourth Proportional to 455.94, 682.83 and 224.10

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Solution

The fourth proportional to 455.94, 682.83 and 224.10 is: 335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 682.83 = 224.10 : x
  2. Step 2: Convert to fraction form
    455.94/682.83 = 224.10/x
  3. Step 3: Cross multiply
    455.94x = 682.83 × 224.10
  4. Step 4: Simplify right side
    455.94x = 153,022.20
  5. Step 5: Solve for x
    x = 153,022.20/455.94
  6. Step 6: Final answer
    x = 335.62

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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.