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Finding the Fourth Proportional to 466.24, 694.79 and 450.76

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Solution

The fourth proportional to 466.24, 694.79 and 450.76 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 694.79 = 450.76 : x
  2. Step 2: Convert to fraction form
    466.24/694.79 = 450.76/x
  3. Step 3: Cross multiply
    466.24x = 694.79 × 450.76
  4. Step 4: Simplify right side
    466.24x = 313,183.54
  5. Step 5: Solve for x
    x = 313,183.54/466.24
  6. Step 6: Final answer
    x = 671.72

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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.