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Finding the Fourth Proportional to 588.09, 811.56 and 339.41

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Solution

The fourth proportional to 588.09, 811.56 and 339.41 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 811.56 = 339.41 : x
  2. Step 2: Convert to fraction form
    588.09/811.56 = 339.41/x
  3. Step 3: Cross multiply
    588.09x = 811.56 × 339.41
  4. Step 4: Simplify right side
    588.09x = 275,447.52
  5. Step 5: Solve for x
    x = 275,447.52/588.09
  6. Step 6: Final answer
    x = 468.38

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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.