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Finding the Fourth Proportional to 579.67, 869.51 and 146.81

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Solution

The fourth proportional to 579.67, 869.51 and 146.81 is: 220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.67 : 869.51 = 146.81 : x
  2. Step 2: Convert to fraction form
    579.67/869.51 = 146.81/x
  3. Step 3: Cross multiply
    579.67x = 869.51 × 146.81
  4. Step 4: Simplify right side
    579.67x = 127,655.30
  5. Step 5: Solve for x
    x = 127,655.30/579.67
  6. Step 6: Final answer
    x = 220.22

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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.