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Finding the Fourth Proportional to 463.83, 640.09 and 254.01

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Solution

The fourth proportional to 463.83, 640.09 and 254.01 is: 350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.83 : 640.09 = 254.01 : x
  2. Step 2: Convert to fraction form
    463.83/640.09 = 254.01/x
  3. Step 3: Cross multiply
    463.83x = 640.09 × 254.01
  4. Step 4: Simplify right side
    463.83x = 162,589.90
  5. Step 5: Solve for x
    x = 162,589.90/463.83
  6. Step 6: Final answer
    x = 350.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.