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Finding the Fourth Proportional to 669.65, 1,004.62 and 323.23

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Solution

The fourth proportional to 669.65, 1,004.62 and 323.23 is: 484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.65 : 1,004.62 = 323.23 : x
  2. Step 2: Convert to fraction form
    669.65/1,004.62 = 323.23/x
  3. Step 3: Cross multiply
    669.65x = 1,004.62 × 323.23
  4. Step 4: Simplify right side
    669.65x = 324,719.72
  5. Step 5: Solve for x
    x = 324,719.72/669.65
  6. Step 6: Final answer
    x = 484.91

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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.