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Finding the Fourth Proportional to 588.27, 811.81 and 322.71

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Solution

The fourth proportional to 588.27, 811.81 and 322.71 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.27 : 811.81 = 322.71 : x
  2. Step 2: Convert to fraction form
    588.27/811.81 = 322.71/x
  3. Step 3: Cross multiply
    588.27x = 811.81 × 322.71
  4. Step 4: Simplify right side
    588.27x = 261,979.21
  5. Step 5: Solve for x
    x = 261,979.21/588.27
  6. Step 6: Final answer
    x = 445.34

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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.