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Finding the Fourth Proportional to 350.71, 483.96 and 219.67

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Solution

The fourth proportional to 350.71, 483.96 and 219.67 is: 303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.71 : 483.96 = 219.67 : x
  2. Step 2: Convert to fraction form
    350.71/483.96 = 219.67/x
  3. Step 3: Cross multiply
    350.71x = 483.96 × 219.67
  4. Step 4: Simplify right side
    350.71x = 106,311.49
  5. Step 5: Solve for x
    x = 106,311.49/350.71
  6. Step 6: Final answer
    x = 303.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.