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Finding the Fourth Proportional to 599.24, 828.36 and 593.72

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Solution

The fourth proportional to 599.24, 828.36 and 593.72 is: 820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 828.36 = 593.72 : x
  2. Step 2: Convert to fraction form
    599.24/828.36 = 593.72/x
  3. Step 3: Cross multiply
    599.24x = 828.36 × 593.72
  4. Step 4: Simplify right side
    599.24x = 491,813.90
  5. Step 5: Solve for x
    x = 491,813.90/599.24
  6. Step 6: Final answer
    x = 820.73

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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.