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Finding the Fourth Proportional to 599.25, 826.50 and 378.12

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Solution

The fourth proportional to 599.25, 826.50 and 378.12 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.25 : 826.50 = 378.12 : x
  2. Step 2: Convert to fraction form
    599.25/826.50 = 378.12/x
  3. Step 3: Cross multiply
    599.25x = 826.50 × 378.12
  4. Step 4: Simplify right side
    599.25x = 312,516.18
  5. Step 5: Solve for x
    x = 312,516.18/599.25
  6. Step 6: Final answer
    x = 521.51

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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.