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Finding the Fourth Proportional to 579.96, 869.85 and 271.98

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Solution

The fourth proportional to 579.96, 869.85 and 271.98 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 869.85 = 271.98 : x
  2. Step 2: Convert to fraction form
    579.96/869.85 = 271.98/x
  3. Step 3: Cross multiply
    579.96x = 869.85 × 271.98
  4. Step 4: Simplify right side
    579.96x = 236,581.80
  5. Step 5: Solve for x
    x = 236,581.80/579.96
  6. Step 6: Final answer
    x = 407.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.