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Finding the Fourth Proportional to 568.73, 852.66 and 222.02

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Solution

The fourth proportional to 568.73, 852.66 and 222.02 is: 332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.73 : 852.66 = 222.02 : x
  2. Step 2: Convert to fraction form
    568.73/852.66 = 222.02/x
  3. Step 3: Cross multiply
    568.73x = 852.66 × 222.02
  4. Step 4: Simplify right side
    568.73x = 189,303.31
  5. Step 5: Solve for x
    x = 189,303.31/568.73
  6. Step 6: Final answer
    x = 332.85

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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.