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Finding the Fourth Proportional to 485.49, 669.72 and 299.07

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Solution

The fourth proportional to 485.49, 669.72 and 299.07 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.49 : 669.72 = 299.07 : x
  2. Step 2: Convert to fraction form
    485.49/669.72 = 299.07/x
  3. Step 3: Cross multiply
    485.49x = 669.72 × 299.07
  4. Step 4: Simplify right side
    485.49x = 200,293.16
  5. Step 5: Solve for x
    x = 200,293.16/485.49
  6. Step 6: Final answer
    x = 412.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.