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Finding the Fourth Proportional to 588.12, 811.61 and 326.14

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Solution

The fourth proportional to 588.12, 811.61 and 326.14 is: 450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 811.61 = 326.14 : x
  2. Step 2: Convert to fraction form
    588.12/811.61 = 326.14/x
  3. Step 3: Cross multiply
    588.12x = 811.61 × 326.14
  4. Step 4: Simplify right side
    588.12x = 264,692.80
  5. Step 5: Solve for x
    x = 264,692.80/588.12
  6. Step 6: Final answer
    x = 450.07

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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.