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Finding the Fourth Proportional to 599.12, 826.61 and 347.02

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Solution

The fourth proportional to 599.12, 826.61 and 347.02 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.12 : 826.61 = 347.02 : x
  2. Step 2: Convert to fraction form
    599.12/826.61 = 347.02/x
  3. Step 3: Cross multiply
    599.12x = 826.61 × 347.02
  4. Step 4: Simplify right side
    599.12x = 286,850.80
  5. Step 5: Solve for x
    x = 286,850.80/599.12
  6. Step 6: Final answer
    x = 478.79

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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.