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Finding the Fourth Proportional to 337.80, 466.09 and 204.99

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Solution

The fourth proportional to 337.80, 466.09 and 204.99 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 466.09 = 204.99 : x
  2. Step 2: Convert to fraction form
    337.80/466.09 = 204.99/x
  3. Step 3: Cross multiply
    337.80x = 466.09 × 204.99
  4. Step 4: Simplify right side
    337.80x = 95,542.76
  5. Step 5: Solve for x
    x = 95,542.76/337.80
  6. Step 6: Final answer
    x = 282.84

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