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Finding the Fourth Proportional to 598.96, 826.53 and 336.97

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Solution

The fourth proportional to 598.96, 826.53 and 336.97 is: 465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 826.53 = 336.97 : x
  2. Step 2: Convert to fraction form
    598.96/826.53 = 336.97/x
  3. Step 3: Cross multiply
    598.96x = 826.53 × 336.97
  4. Step 4: Simplify right side
    598.96x = 278,515.81
  5. Step 5: Solve for x
    x = 278,515.81/598.96
  6. Step 6: Final answer
    x = 465.00

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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.