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Finding the Fourth Proportional to 566.88, 850.24 and 351.84

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Solution

The fourth proportional to 566.88, 850.24 and 351.84 is: 527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 850.24 = 351.84 : x
  2. Step 2: Convert to fraction form
    566.88/850.24 = 351.84/x
  3. Step 3: Cross multiply
    566.88x = 850.24 × 351.84
  4. Step 4: Simplify right side
    566.88x = 299,148.44
  5. Step 5: Solve for x
    x = 299,148.44/566.88
  6. Step 6: Final answer
    x = 527.71

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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.