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Finding the Fourth Proportional to 568.45, 850.40 and 492.23

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Solution

The fourth proportional to 568.45, 850.40 and 492.23 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 850.40 = 492.23 : x
  2. Step 2: Convert to fraction form
    568.45/850.40 = 492.23/x
  3. Step 3: Cross multiply
    568.45x = 850.40 × 492.23
  4. Step 4: Simplify right side
    568.45x = 418,592.39
  5. Step 5: Solve for x
    x = 418,592.39/568.45
  6. Step 6: Final answer
    x = 736.38

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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.