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Finding the Fourth Proportional to 599.24, 826.34 and 431.30

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Solution

The fourth proportional to 599.24, 826.34 and 431.30 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 826.34 = 431.30 : x
  2. Step 2: Convert to fraction form
    599.24/826.34 = 431.30/x
  3. Step 3: Cross multiply
    599.24x = 826.34 × 431.30
  4. Step 4: Simplify right side
    599.24x = 356,400.44
  5. Step 5: Solve for x
    x = 356,400.44/599.24
  6. Step 6: Final answer
    x = 594.75

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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.