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Finding the Fourth Proportional to 552.26, 826.98 and 465.38

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Solution

The fourth proportional to 552.26, 826.98 and 465.38 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.26 : 826.98 = 465.38 : x
  2. Step 2: Convert to fraction form
    552.26/826.98 = 465.38/x
  3. Step 3: Cross multiply
    552.26x = 826.98 × 465.38
  4. Step 4: Simplify right side
    552.26x = 384,859.95
  5. Step 5: Solve for x
    x = 384,859.95/552.26
  6. Step 6: Final answer
    x = 696.88

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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.