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Finding the Fourth Proportional to 481.79, 722.85 and 152.78

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Solution

The fourth proportional to 481.79, 722.85 and 152.78 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.79 : 722.85 = 152.78 : x
  2. Step 2: Convert to fraction form
    481.79/722.85 = 152.78/x
  3. Step 3: Cross multiply
    481.79x = 722.85 × 152.78
  4. Step 4: Simplify right side
    481.79x = 110,433.70
  5. Step 5: Solve for x
    x = 110,433.70/481.79
  6. Step 6: Final answer
    x = 229.22

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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.