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Finding the Fourth Proportional to 285.99, 428.98 and 69.56

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Solution

The fourth proportional to 285.99, 428.98 and 69.56 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.99 : 428.98 = 69.56 : x
  2. Step 2: Convert to fraction form
    285.99/428.98 = 69.56/x
  3. Step 3: Cross multiply
    285.99x = 428.98 × 69.56
  4. Step 4: Simplify right side
    285.99x = 29,839.85
  5. Step 5: Solve for x
    x = 29,839.85/285.99
  6. Step 6: Final answer
    x = 104.34

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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.