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Finding the Fourth Proportional to 285.99, 429.05 and 205.44

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Solution

The fourth proportional to 285.99, 429.05 and 205.44 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.99 : 429.05 = 205.44 : x
  2. Step 2: Convert to fraction form
    285.99/429.05 = 205.44/x
  3. Step 3: Cross multiply
    285.99x = 429.05 × 205.44
  4. Step 4: Simplify right side
    285.99x = 88,140.86
  5. Step 5: Solve for x
    x = 88,140.86/285.99
  6. Step 6: Final answer
    x = 308.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.