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Finding the Fourth Proportional to 485.26, 669.97 and 338.24

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Solution

The fourth proportional to 485.26, 669.97 and 338.24 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.26 : 669.97 = 338.24 : x
  2. Step 2: Convert to fraction form
    485.26/669.97 = 338.24/x
  3. Step 3: Cross multiply
    485.26x = 669.97 × 338.24
  4. Step 4: Simplify right side
    485.26x = 226,612.75
  5. Step 5: Solve for x
    x = 226,612.75/485.26
  6. Step 6: Final answer
    x = 466.99

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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.