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Finding the Fourth Proportional to 464.99, 641.25 and 299.34

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Solution

The fourth proportional to 464.99, 641.25 and 299.34 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 641.25 = 299.34 : x
  2. Step 2: Convert to fraction form
    464.99/641.25 = 299.34/x
  3. Step 3: Cross multiply
    464.99x = 641.25 × 299.34
  4. Step 4: Simplify right side
    464.99x = 191,951.78
  5. Step 5: Solve for x
    x = 191,951.78/464.99
  6. Step 6: Final answer
    x = 412.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.