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Finding the Fourth Proportional to 599.42, 826.98 and 372.20

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Solution

The fourth proportional to 599.42, 826.98 and 372.20 is: 513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 826.98 = 372.20 : x
  2. Step 2: Convert to fraction form
    599.42/826.98 = 372.20/x
  3. Step 3: Cross multiply
    599.42x = 826.98 × 372.20
  4. Step 4: Simplify right side
    599.42x = 307,795.96
  5. Step 5: Solve for x
    x = 307,795.96/599.42
  6. Step 6: Final answer
    x = 513.49

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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.