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Finding the Fourth Proportional to 598.68, 825.99 and 336.66

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Solution

The fourth proportional to 598.68, 825.99 and 336.66 is: 464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 825.99 = 336.66 : x
  2. Step 2: Convert to fraction form
    598.68/825.99 = 336.66/x
  3. Step 3: Cross multiply
    598.68x = 825.99 × 336.66
  4. Step 4: Simplify right side
    598.68x = 278,077.79
  5. Step 5: Solve for x
    x = 278,077.79/598.68
  6. Step 6: Final answer
    x = 464.48

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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.