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Finding the Fourth Proportional to 670.68, 1,006.01 and 323.78

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Solution

The fourth proportional to 670.68, 1,006.01 and 323.78 is: 485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.68 : 1,006.01 = 323.78 : x
  2. Step 2: Convert to fraction form
    670.68/1,006.01 = 323.78/x
  3. Step 3: Cross multiply
    670.68x = 1,006.01 × 323.78
  4. Step 4: Simplify right side
    670.68x = 325,725.92
  5. Step 5: Solve for x
    x = 325,725.92/670.68
  6. Step 6: Final answer
    x = 485.67

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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.