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Finding the Fourth Proportional to 599.81, 826.20 and 459.68

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Solution

The fourth proportional to 599.81, 826.20 and 459.68 is: 633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 826.20 = 459.68 : x
  2. Step 2: Convert to fraction form
    599.81/826.20 = 459.68/x
  3. Step 3: Cross multiply
    599.81x = 826.20 × 459.68
  4. Step 4: Simplify right side
    599.81x = 379,783.49
  5. Step 5: Solve for x
    x = 379,783.49/599.81
  6. Step 6: Final answer
    x = 633.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.