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Finding the Fourth Proportional to 588.24, 811.78 and 322.68

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Solution

The fourth proportional to 588.24, 811.78 and 322.68 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 811.78 = 322.68 : x
  2. Step 2: Convert to fraction form
    588.24/811.78 = 322.68/x
  3. Step 3: Cross multiply
    588.24x = 811.78 × 322.68
  4. Step 4: Simplify right side
    588.24x = 261,945.17
  5. Step 5: Solve for x
    x = 261,945.17/588.24
  6. Step 6: Final answer
    x = 445.30

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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.