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Finding the Fourth Proportional to 465.67, 694.96 and 446.83

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Solution

The fourth proportional to 465.67, 694.96 and 446.83 is: 666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.67 : 694.96 = 446.83 : x
  2. Step 2: Convert to fraction form
    465.67/694.96 = 446.83/x
  3. Step 3: Cross multiply
    465.67x = 694.96 × 446.83
  4. Step 4: Simplify right side
    465.67x = 310,531.24
  5. Step 5: Solve for x
    x = 310,531.24/465.67
  6. Step 6: Final answer
    x = 666.85

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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.