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Finding the Fourth Proportional to 467.93, 697.22 and 446.97

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Solution

The fourth proportional to 467.93, 697.22 and 446.97 is: 665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.93 : 697.22 = 446.97 : x
  2. Step 2: Convert to fraction form
    467.93/697.22 = 446.97/x
  3. Step 3: Cross multiply
    467.93x = 697.22 × 446.97
  4. Step 4: Simplify right side
    467.93x = 311,635.19
  5. Step 5: Solve for x
    x = 311,635.19/467.93
  6. Step 6: Final answer
    x = 665.99

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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.