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Finding the Fourth Proportional to 568.89, 852.17 and 363.38

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Solution

The fourth proportional to 568.89, 852.17 and 363.38 is: 544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 852.17 = 363.38 : x
  2. Step 2: Convert to fraction form
    568.89/852.17 = 363.38/x
  3. Step 3: Cross multiply
    568.89x = 852.17 × 363.38
  4. Step 4: Simplify right side
    568.89x = 309,655.46
  5. Step 5: Solve for x
    x = 309,655.46/568.89
  6. Step 6: Final answer
    x = 544.32

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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.