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Finding the Fourth Proportional to 464.92, 697.38 and 176.44

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Solution

The fourth proportional to 464.92, 697.38 and 176.44 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 697.38 = 176.44 : x
  2. Step 2: Convert to fraction form
    464.92/697.38 = 176.44/x
  3. Step 3: Cross multiply
    464.92x = 697.38 × 176.44
  4. Step 4: Simplify right side
    464.92x = 123,045.73
  5. Step 5: Solve for x
    x = 123,045.73/464.92
  6. Step 6: Final answer
    x = 264.66

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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.