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Finding the Fourth Proportional to 451, 622.44 and 295.84

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Solution

The fourth proportional to 451, 622.44 and 295.84 is: 408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 622.44 = 295.84 : x
  2. Step 2: Convert to fraction form
    451/622.44 = 295.84/x
  3. Step 3: Cross multiply
    451x = 622.44 × 295.84
  4. Step 4: Simplify right side
    451x = 184,142.65
  5. Step 5: Solve for x
    x = 184,142.65/451
  6. Step 6: Final answer
    x = 408.30

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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.