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Finding the Fourth Proportional to 568.32, 850.92 and 362.28

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Solution

The fourth proportional to 568.32, 850.92 and 362.28 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 850.92 = 362.28 : x
  2. Step 2: Convert to fraction form
    568.32/850.92 = 362.28/x
  3. Step 3: Cross multiply
    568.32x = 850.92 × 362.28
  4. Step 4: Simplify right side
    568.32x = 308,271.30
  5. Step 5: Solve for x
    x = 308,271.30/568.32
  6. Step 6: Final answer
    x = 542.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.