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Finding the Fourth Proportional to 568.37, 852.98 and 243.96

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Solution

The fourth proportional to 568.37, 852.98 and 243.96 is: 366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.37 : 852.98 = 243.96 : x
  2. Step 2: Convert to fraction form
    568.37/852.98 = 243.96/x
  3. Step 3: Cross multiply
    568.37x = 852.98 × 243.96
  4. Step 4: Simplify right side
    568.37x = 208,091.78
  5. Step 5: Solve for x
    x = 208,091.78/568.37
  6. Step 6: Final answer
    x = 366.12

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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.