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Finding the Fourth Proportional to 598.39, 825.96 and 349.81

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Solution

The fourth proportional to 598.39, 825.96 and 349.81 is: 482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 825.96 = 349.81 : x
  2. Step 2: Convert to fraction form
    598.39/825.96 = 349.81/x
  3. Step 3: Cross multiply
    598.39x = 825.96 × 349.81
  4. Step 4: Simplify right side
    598.39x = 288,928.31
  5. Step 5: Solve for x
    x = 288,928.31/598.39
  6. Step 6: Final answer
    x = 482.84

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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.