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Finding the Fourth Proportional to 744.50, 1,116.34 and 333.22

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Solution

The fourth proportional to 744.50, 1,116.34 and 333.22 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.50 : 1,116.34 = 333.22 : x
  2. Step 2: Convert to fraction form
    744.50/1,116.34 = 333.22/x
  3. Step 3: Cross multiply
    744.50x = 1,116.34 × 333.22
  4. Step 4: Simplify right side
    744.50x = 371,986.81
  5. Step 5: Solve for x
    x = 371,986.81/744.50
  6. Step 6: Final answer
    x = 499.65

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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.