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Finding the Fourth Proportional to 588.14, 811.59 and 339.27

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Solution

The fourth proportional to 588.14, 811.59 and 339.27 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.14 : 811.59 = 339.27 : x
  2. Step 2: Convert to fraction form
    588.14/811.59 = 339.27/x
  3. Step 3: Cross multiply
    588.14x = 811.59 × 339.27
  4. Step 4: Simplify right side
    588.14x = 275,348.14
  5. Step 5: Solve for x
    x = 275,348.14/588.14
  6. Step 6: Final answer
    x = 468.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.