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Finding the Fourth Proportional to 568.27, 852.99 and 406.27

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Solution

The fourth proportional to 568.27, 852.99 and 406.27 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.27 : 852.99 = 406.27 : x
  2. Step 2: Convert to fraction form
    568.27/852.99 = 406.27/x
  3. Step 3: Cross multiply
    568.27x = 852.99 × 406.27
  4. Step 4: Simplify right side
    568.27x = 346,544.25
  5. Step 5: Solve for x
    x = 346,544.25/568.27
  6. Step 6: Final answer
    x = 609.82

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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.