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Finding the Fourth Proportional to 599.24, 826.26 and 377.88

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Solution

The fourth proportional to 599.24, 826.26 and 377.88 is: 521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 826.26 = 377.88 : x
  2. Step 2: Convert to fraction form
    599.24/826.26 = 377.88/x
  3. Step 3: Cross multiply
    599.24x = 826.26 × 377.88
  4. Step 4: Simplify right side
    599.24x = 312,227.13
  5. Step 5: Solve for x
    x = 312,227.13/599.24
  6. Step 6: Final answer
    x = 521.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.