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Finding the Fourth Proportional to 588.38, 811.97 and 322.83

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Solution

The fourth proportional to 588.38, 811.97 and 322.83 is: 445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 811.97 = 322.83 : x
  2. Step 2: Convert to fraction form
    588.38/811.97 = 322.83/x
  3. Step 3: Cross multiply
    588.38x = 811.97 × 322.83
  4. Step 4: Simplify right side
    588.38x = 262,128.28
  5. Step 5: Solve for x
    x = 262,128.28/588.38
  6. Step 6: Final answer
    x = 445.51

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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.