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Finding the Fourth Proportional to 599.02, 826.42 and 362.88

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Solution

The fourth proportional to 599.02, 826.42 and 362.88 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.02 : 826.42 = 362.88 : x
  2. Step 2: Convert to fraction form
    599.02/826.42 = 362.88/x
  3. Step 3: Cross multiply
    599.02x = 826.42 × 362.88
  4. Step 4: Simplify right side
    599.02x = 299,892.39
  5. Step 5: Solve for x
    x = 299,892.39/599.02
  6. Step 6: Final answer
    x = 500.64

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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.