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Finding the Fourth Proportional to 588.31, 811.89 and 352.27

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Solution

The fourth proportional to 588.31, 811.89 and 352.27 is: 486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.31 : 811.89 = 352.27 : x
  2. Step 2: Convert to fraction form
    588.31/811.89 = 352.27/x
  3. Step 3: Cross multiply
    588.31x = 811.89 × 352.27
  4. Step 4: Simplify right side
    588.31x = 286,004.62
  5. Step 5: Solve for x
    x = 286,004.62/588.31
  6. Step 6: Final answer
    x = 486.14

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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.