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Finding the Fourth Proportional to 451.26, 622.83 and 293.94

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Solution

The fourth proportional to 451.26, 622.83 and 293.94 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 622.83 = 293.94 : x
  2. Step 2: Convert to fraction form
    451.26/622.83 = 293.94/x
  3. Step 3: Cross multiply
    451.26x = 622.83 × 293.94
  4. Step 4: Simplify right side
    451.26x = 183,074.65
  5. Step 5: Solve for x
    x = 183,074.65/451.26
  6. Step 6: Final answer
    x = 405.70

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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.