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Finding the Fourth Proportional to 598.49, 826.20 and 399.66

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Solution

The fourth proportional to 598.49, 826.20 and 399.66 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.49 : 826.20 = 399.66 : x
  2. Step 2: Convert to fraction form
    598.49/826.20 = 399.66/x
  3. Step 3: Cross multiply
    598.49x = 826.20 × 399.66
  4. Step 4: Simplify right side
    598.49x = 330,192.96
  5. Step 5: Solve for x
    x = 330,192.96/598.49
  6. Step 6: Final answer
    x = 551.71

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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.