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Finding the Fourth Proportional to 598.64, 826.14 and 333.11

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Solution

The fourth proportional to 598.64, 826.14 and 333.11 is: 459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 826.14 = 333.11 : x
  2. Step 2: Convert to fraction form
    598.64/826.14 = 333.11/x
  3. Step 3: Cross multiply
    598.64x = 826.14 × 333.11
  4. Step 4: Simplify right side
    598.64x = 275,190.12
  5. Step 5: Solve for x
    x = 275,190.12/598.64
  6. Step 6: Final answer
    x = 459.69

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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.