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Finding the Fourth Proportional to 670.50, 1,006.07 and 323.78

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Solution

The fourth proportional to 670.50, 1,006.07 and 323.78 is: 485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.50 : 1,006.07 = 323.78 : x
  2. Step 2: Convert to fraction form
    670.50/1,006.07 = 323.78/x
  3. Step 3: Cross multiply
    670.50x = 1,006.07 × 323.78
  4. Step 4: Simplify right side
    670.50x = 325,738.70
  5. Step 5: Solve for x
    x = 325,738.70/670.50
  6. Step 6: Final answer
    x = 485.81

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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.