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Finding the Fourth Proportional to 398.71, 598.41 and 193.68

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Solution

The fourth proportional to 398.71, 598.41 and 193.68 is: 290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.71 : 598.41 = 193.68 : x
  2. Step 2: Convert to fraction form
    398.71/598.41 = 193.68/x
  3. Step 3: Cross multiply
    398.71x = 598.41 × 193.68
  4. Step 4: Simplify right side
    398.71x = 115,900.05
  5. Step 5: Solve for x
    x = 115,900.05/398.71
  6. Step 6: Final answer
    x = 290.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.