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Finding the Fourth Proportional to 588.97, 812.39 and 464.59

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Solution

The fourth proportional to 588.97, 812.39 and 464.59 is: 640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.97 : 812.39 = 464.59 : x
  2. Step 2: Convert to fraction form
    588.97/812.39 = 464.59/x
  3. Step 3: Cross multiply
    588.97x = 812.39 × 464.59
  4. Step 4: Simplify right side
    588.97x = 377,424.21
  5. Step 5: Solve for x
    x = 377,424.21/588.97
  6. Step 6: Final answer
    x = 640.83

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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.