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Finding the Fourth Proportional to 599.98, 828.20 and 537.69

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Solution

The fourth proportional to 599.98, 828.20 and 537.69 is: 742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.98 : 828.20 = 537.69 : x
  2. Step 2: Convert to fraction form
    599.98/828.20 = 537.69/x
  3. Step 3: Cross multiply
    599.98x = 828.20 × 537.69
  4. Step 4: Simplify right side
    599.98x = 445,313.14
  5. Step 5: Solve for x
    x = 445,313.14/599.98
  6. Step 6: Final answer
    x = 742.21

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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.