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Finding the Fourth Proportional to 588.36, 811.97 and 339.71

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Solution

The fourth proportional to 588.36, 811.97 and 339.71 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 811.97 = 339.71 : x
  2. Step 2: Convert to fraction form
    588.36/811.97 = 339.71/x
  3. Step 3: Cross multiply
    588.36x = 811.97 × 339.71
  4. Step 4: Simplify right side
    588.36x = 275,834.66
  5. Step 5: Solve for x
    x = 275,834.66/588.36
  6. Step 6: Final answer
    x = 468.82

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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.