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Finding the Fourth Proportional to 483.09, 723.82 and 222.70

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Solution

The fourth proportional to 483.09, 723.82 and 222.70 is: 333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.09 : 723.82 = 222.70 : x
  2. Step 2: Convert to fraction form
    483.09/723.82 = 222.70/x
  3. Step 3: Cross multiply
    483.09x = 723.82 × 222.70
  4. Step 4: Simplify right side
    483.09x = 161,194.71
  5. Step 5: Solve for x
    x = 161,194.71/483.09
  6. Step 6: Final answer
    x = 333.67

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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.