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Finding the Fourth Proportional to 484.52, 669.33 and 337.57

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Solution

The fourth proportional to 484.52, 669.33 and 337.57 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.52 : 669.33 = 337.57 : x
  2. Step 2: Convert to fraction form
    484.52/669.33 = 337.57/x
  3. Step 3: Cross multiply
    484.52x = 669.33 × 337.57
  4. Step 4: Simplify right side
    484.52x = 225,944.05
  5. Step 5: Solve for x
    x = 225,944.05/484.52
  6. Step 6: Final answer
    x = 466.33

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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.