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Finding the Fourth Proportional to 842.50, 1,264.29 and 329.50

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Solution

The fourth proportional to 842.50, 1,264.29 and 329.50 is: 494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.50 : 1,264.29 = 329.50 : x
  2. Step 2: Convert to fraction form
    842.50/1,264.29 = 329.50/x
  3. Step 3: Cross multiply
    842.50x = 1,264.29 × 329.50
  4. Step 4: Simplify right side
    842.50x = 416,583.56
  5. Step 5: Solve for x
    x = 416,583.56/842.50
  6. Step 6: Final answer
    x = 494.46

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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.