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Finding the Fourth Proportional to 579.70, 869.61 and 146.86

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Solution

The fourth proportional to 579.70, 869.61 and 146.86 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 869.61 = 146.86 : x
  2. Step 2: Convert to fraction form
    579.70/869.61 = 146.86/x
  3. Step 3: Cross multiply
    579.70x = 869.61 × 146.86
  4. Step 4: Simplify right side
    579.70x = 127,709.69
  5. Step 5: Solve for x
    x = 127,709.69/579.70
  6. Step 6: Final answer
    x = 220.30

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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.