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Finding the Fourth Proportional to 568.74, 852.86 and 226.50

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Solution

The fourth proportional to 568.74, 852.86 and 226.50 is: 339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.74 : 852.86 = 226.50 : x
  2. Step 2: Convert to fraction form
    568.74/852.86 = 226.50/x
  3. Step 3: Cross multiply
    568.74x = 852.86 × 226.50
  4. Step 4: Simplify right side
    568.74x = 193,172.79
  5. Step 5: Solve for x
    x = 193,172.79/568.74
  6. Step 6: Final answer
    x = 339.65

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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.