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Finding the Fourth Proportional to 599.24, 826.98 and 333.72

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Solution

The fourth proportional to 599.24, 826.98 and 333.72 is: 460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 826.98 = 333.72 : x
  2. Step 2: Convert to fraction form
    599.24/826.98 = 333.72/x
  3. Step 3: Cross multiply
    599.24x = 826.98 × 333.72
  4. Step 4: Simplify right side
    599.24x = 275,979.77
  5. Step 5: Solve for x
    x = 275,979.77/599.24
  6. Step 6: Final answer
    x = 460.55

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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.