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Finding the Fourth Proportional to 598.81, 826.36 and 336.83

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Solution

The fourth proportional to 598.81, 826.36 and 336.83 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.81 : 826.36 = 336.83 : x
  2. Step 2: Convert to fraction form
    598.81/826.36 = 336.83/x
  3. Step 3: Cross multiply
    598.81x = 826.36 × 336.83
  4. Step 4: Simplify right side
    598.81x = 278,342.84
  5. Step 5: Solve for x
    x = 278,342.84/598.81
  6. Step 6: Final answer
    x = 464.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.