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Finding the Fourth Proportional to 599.07, 826.80 and 363.05

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Solution

The fourth proportional to 599.07, 826.80 and 363.05 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 826.80 = 363.05 : x
  2. Step 2: Convert to fraction form
    599.07/826.80 = 363.05/x
  3. Step 3: Cross multiply
    599.07x = 826.80 × 363.05
  4. Step 4: Simplify right side
    599.07x = 300,169.74
  5. Step 5: Solve for x
    x = 300,169.74/599.07
  6. Step 6: Final answer
    x = 501.06

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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.