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Finding the Fourth Proportional to 474.24, 709.72 and 466.96

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Solution

The fourth proportional to 474.24, 709.72 and 466.96 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 709.72 = 466.96 : x
  2. Step 2: Convert to fraction form
    474.24/709.72 = 466.96/x
  3. Step 3: Cross multiply
    474.24x = 709.72 × 466.96
  4. Step 4: Simplify right side
    474.24x = 331,410.85
  5. Step 5: Solve for x
    x = 331,410.85/474.24
  6. Step 6: Final answer
    x = 698.83

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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.