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Finding the Fourth Proportional to 568.54, 851.99 and 280.18

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Solution

The fourth proportional to 568.54, 851.99 and 280.18 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.54 : 851.99 = 280.18 : x
  2. Step 2: Convert to fraction form
    568.54/851.99 = 280.18/x
  3. Step 3: Cross multiply
    568.54x = 851.99 × 280.18
  4. Step 4: Simplify right side
    568.54x = 238,706.30
  5. Step 5: Solve for x
    x = 238,706.30/568.54
  6. Step 6: Final answer
    x = 419.86

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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.