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Finding the Fourth Proportional to 471.94, 704.41 and 423.22

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Solution

The fourth proportional to 471.94, 704.41 and 423.22 is: 631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 704.41 = 423.22 : x
  2. Step 2: Convert to fraction form
    471.94/704.41 = 423.22/x
  3. Step 3: Cross multiply
    471.94x = 704.41 × 423.22
  4. Step 4: Simplify right side
    471.94x = 298,120.40
  5. Step 5: Solve for x
    x = 298,120.40/471.94
  6. Step 6: Final answer
    x = 631.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.