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Finding the Fourth Proportional to 588.28, 811.82 and 339.74

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Solution

The fourth proportional to 588.28, 811.82 and 339.74 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 811.82 = 339.74 : x
  2. Step 2: Convert to fraction form
    588.28/811.82 = 339.74/x
  3. Step 3: Cross multiply
    588.28x = 811.82 × 339.74
  4. Step 4: Simplify right side
    588.28x = 275,802.61
  5. Step 5: Solve for x
    x = 275,802.61/588.28
  6. Step 6: Final answer
    x = 468.83

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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.