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Finding the Fourth Proportional to 450.78, 622.04 and 251.60

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Solution

The fourth proportional to 450.78, 622.04 and 251.60 is: 347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.78 : 622.04 = 251.60 : x
  2. Step 2: Convert to fraction form
    450.78/622.04 = 251.60/x
  3. Step 3: Cross multiply
    450.78x = 622.04 × 251.60
  4. Step 4: Simplify right side
    450.78x = 156,505.12
  5. Step 5: Solve for x
    x = 156,505.12/450.78
  6. Step 6: Final answer
    x = 347.19

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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.