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Finding the Fourth Proportional to 588.08, 811.44 and 401.92

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Solution

The fourth proportional to 588.08, 811.44 and 401.92 is: 554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.08 : 811.44 = 401.92 : x
  2. Step 2: Convert to fraction form
    588.08/811.44 = 401.92/x
  3. Step 3: Cross multiply
    588.08x = 811.44 × 401.92
  4. Step 4: Simplify right side
    588.08x = 326,133.96
  5. Step 5: Solve for x
    x = 326,133.96/588.08
  6. Step 6: Final answer
    x = 554.57

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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.