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Finding the Fourth Proportional to 451.10, 622.44 and 274.02

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Solution

The fourth proportional to 451.10, 622.44 and 274.02 is: 378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.10 : 622.44 = 274.02 : x
  2. Step 2: Convert to fraction form
    451.10/622.44 = 274.02/x
  3. Step 3: Cross multiply
    451.10x = 622.44 × 274.02
  4. Step 4: Simplify right side
    451.10x = 170,561.01
  5. Step 5: Solve for x
    x = 170,561.01/451.10
  6. Step 6: Final answer
    x = 378.10

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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.