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Finding the Fourth Proportional to 534.21, 733.26 and 511.67

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Solution

The fourth proportional to 534.21, 733.26 and 511.67 is: 702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 733.26 = 511.67 : x
  2. Step 2: Convert to fraction form
    534.21/733.26 = 511.67/x
  3. Step 3: Cross multiply
    534.21x = 733.26 × 511.67
  4. Step 4: Simplify right side
    534.21x = 375,183.48
  5. Step 5: Solve for x
    x = 375,183.48/534.21
  6. Step 6: Final answer
    x = 702.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.