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Finding the Fourth Proportional to 464.09, 641.00 and 333.68

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Solution

The fourth proportional to 464.09, 641.00 and 333.68 is: 460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 641.00 = 333.68 : x
  2. Step 2: Convert to fraction form
    464.09/641.00 = 333.68/x
  3. Step 3: Cross multiply
    464.09x = 641.00 × 333.68
  4. Step 4: Simplify right side
    464.09x = 213,887.21
  5. Step 5: Solve for x
    x = 213,887.21/464.09
  6. Step 6: Final answer
    x = 460.87

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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.