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Finding the Fourth Proportional to 588.38, 811.88 and 336.31

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Solution

The fourth proportional to 588.38, 811.88 and 336.31 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 811.88 = 336.31 : x
  2. Step 2: Convert to fraction form
    588.38/811.88 = 336.31/x
  3. Step 3: Cross multiply
    588.38x = 811.88 × 336.31
  4. Step 4: Simplify right side
    588.38x = 273,043.36
  5. Step 5: Solve for x
    x = 273,043.36/588.38
  6. Step 6: Final answer
    x = 464.06

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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.