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Finding the Fourth Proportional to 568.23, 851.88 and 324.92

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Solution

The fourth proportional to 568.23, 851.88 and 324.92 is: 487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.23 : 851.88 = 324.92 : x
  2. Step 2: Convert to fraction form
    568.23/851.88 = 324.92/x
  3. Step 3: Cross multiply
    568.23x = 851.88 × 324.92
  4. Step 4: Simplify right side
    568.23x = 276,796.20
  5. Step 5: Solve for x
    x = 276,796.20/568.23
  6. Step 6: Final answer
    x = 487.12

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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.