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Finding the Fourth Proportional to 475.26, 711.27 and 353.22

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Solution

The fourth proportional to 475.26, 711.27 and 353.22 is: 528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.26 : 711.27 = 353.22 : x
  2. Step 2: Convert to fraction form
    475.26/711.27 = 353.22/x
  3. Step 3: Cross multiply
    475.26x = 711.27 × 353.22
  4. Step 4: Simplify right side
    475.26x = 251,234.79
  5. Step 5: Solve for x
    x = 251,234.79/475.26
  6. Step 6: Final answer
    x = 528.63

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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.