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Finding the Fourth Proportional to 589.35, 811.96 and 464.97

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Solution

The fourth proportional to 589.35, 811.96 and 464.97 is: 640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.35 : 811.96 = 464.97 : x
  2. Step 2: Convert to fraction form
    589.35/811.96 = 464.97/x
  3. Step 3: Cross multiply
    589.35x = 811.96 × 464.97
  4. Step 4: Simplify right side
    589.35x = 377,534.03
  5. Step 5: Solve for x
    x = 377,534.03/589.35
  6. Step 6: Final answer
    x = 640.59

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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.