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Finding the Fourth Proportional to 588.08, 811.49 and 326.07

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Solution

The fourth proportional to 588.08, 811.49 and 326.07 is: 449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.08 : 811.49 = 326.07 : x
  2. Step 2: Convert to fraction form
    588.08/811.49 = 326.07/x
  3. Step 3: Cross multiply
    588.08x = 811.49 × 326.07
  4. Step 4: Simplify right side
    588.08x = 264,600.91
  5. Step 5: Solve for x
    x = 264,600.91/588.08
  6. Step 6: Final answer
    x = 449.94

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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.