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Finding the Fourth Proportional to 669.52, 1,004.11 and 299.13

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Solution

The fourth proportional to 669.52, 1,004.11 and 299.13 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.52 : 1,004.11 = 299.13 : x
  2. Step 2: Convert to fraction form
    669.52/1,004.11 = 299.13/x
  3. Step 3: Cross multiply
    669.52x = 1,004.11 × 299.13
  4. Step 4: Simplify right side
    669.52x = 300,359.42
  5. Step 5: Solve for x
    x = 300,359.42/669.52
  6. Step 6: Final answer
    x = 448.62

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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.