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Finding the Fourth Proportional to 552.96, 826.80 and 476.80

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Solution

The fourth proportional to 552.96, 826.80 and 476.80 is: 712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.96 : 826.80 = 476.80 : x
  2. Step 2: Convert to fraction form
    552.96/826.80 = 476.80/x
  3. Step 3: Cross multiply
    552.96x = 826.80 × 476.80
  4. Step 4: Simplify right side
    552.96x = 394,218.24
  5. Step 5: Solve for x
    x = 394,218.24/552.96
  6. Step 6: Final answer
    x = 712.92

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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.