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Finding the Fourth Proportional to 402.56, 558.37 and 391.89

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Solution

The fourth proportional to 402.56, 558.37 and 391.89 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.56 : 558.37 = 391.89 : x
  2. Step 2: Convert to fraction form
    402.56/558.37 = 391.89/x
  3. Step 3: Cross multiply
    402.56x = 558.37 × 391.89
  4. Step 4: Simplify right side
    402.56x = 218,817.96
  5. Step 5: Solve for x
    x = 218,817.96/402.56
  6. Step 6: Final answer
    x = 543.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.