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Finding the Fourth Proportional to 484.88, 669.12 and 337.80

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Solution

The fourth proportional to 484.88, 669.12 and 337.80 is: 466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 669.12 = 337.80 : x
  2. Step 2: Convert to fraction form
    484.88/669.12 = 337.80/x
  3. Step 3: Cross multiply
    484.88x = 669.12 × 337.80
  4. Step 4: Simplify right side
    484.88x = 226,028.74
  5. Step 5: Solve for x
    x = 226,028.74/484.88
  6. Step 6: Final answer
    x = 466.15

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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.