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Finding the Fourth Proportional to 579.76, 869.64 and 146.92

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Solution

The fourth proportional to 579.76, 869.64 and 146.92 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.76 : 869.64 = 146.92 : x
  2. Step 2: Convert to fraction form
    579.76/869.64 = 146.92/x
  3. Step 3: Cross multiply
    579.76x = 869.64 × 146.92
  4. Step 4: Simplify right side
    579.76x = 127,763.16
  5. Step 5: Solve for x
    x = 127,763.16/579.76
  6. Step 6: Final answer
    x = 220.37

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Why These Related Problems?

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