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Finding the Fourth Proportional to 427.08, 588.90 and 296.04

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Solution

The fourth proportional to 427.08, 588.90 and 296.04 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.08 : 588.90 = 296.04 : x
  2. Step 2: Convert to fraction form
    427.08/588.90 = 296.04/x
  3. Step 3: Cross multiply
    427.08x = 588.90 × 296.04
  4. Step 4: Simplify right side
    427.08x = 174,337.96
  5. Step 5: Solve for x
    x = 174,337.96/427.08
  6. Step 6: Final answer
    x = 408.21

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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.