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Finding the Fourth Proportional to 469.46, 704.20 and 447.56

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Solution

The fourth proportional to 469.46, 704.20 and 447.56 is: 671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 704.20 = 447.56 : x
  2. Step 2: Convert to fraction form
    469.46/704.20 = 447.56/x
  3. Step 3: Cross multiply
    469.46x = 704.20 × 447.56
  4. Step 4: Simplify right side
    469.46x = 315,171.85
  5. Step 5: Solve for x
    x = 315,171.85/469.46
  6. Step 6: Final answer
    x = 671.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.