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Finding the Fourth Proportional to 464.85, 640.61 and 333.63

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Solution

The fourth proportional to 464.85, 640.61 and 333.63 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.85 : 640.61 = 333.63 : x
  2. Step 2: Convert to fraction form
    464.85/640.61 = 333.63/x
  3. Step 3: Cross multiply
    464.85x = 640.61 × 333.63
  4. Step 4: Simplify right side
    464.85x = 213,726.71
  5. Step 5: Solve for x
    x = 213,726.71/464.85
  6. Step 6: Final answer
    x = 459.78

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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.