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Finding the Fourth Proportional to 599.23, 826.95 and 363.22

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Solution

The fourth proportional to 599.23, 826.95 and 363.22 is: 501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.23 : 826.95 = 363.22 : x
  2. Step 2: Convert to fraction form
    599.23/826.95 = 363.22/x
  3. Step 3: Cross multiply
    599.23x = 826.95 × 363.22
  4. Step 4: Simplify right side
    599.23x = 300,364.07
  5. Step 5: Solve for x
    x = 300,364.07/599.23
  6. Step 6: Final answer
    x = 501.25

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Why These Related Problems?

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