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Finding the Fourth Proportional to 568.08, 851.84 and 243.28

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Solution

The fourth proportional to 568.08, 851.84 and 243.28 is: 364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 851.84 = 243.28 : x
  2. Step 2: Convert to fraction form
    568.08/851.84 = 243.28/x
  3. Step 3: Cross multiply
    568.08x = 851.84 × 243.28
  4. Step 4: Simplify right side
    568.08x = 207,235.64
  5. Step 5: Solve for x
    x = 207,235.64/568.08
  6. Step 6: Final answer
    x = 364.80

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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.