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Finding the Fourth Proportional to 398.56, 598.02 and 193.24

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Solution

The fourth proportional to 398.56, 598.02 and 193.24 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.56 : 598.02 = 193.24 : x
  2. Step 2: Convert to fraction form
    398.56/598.02 = 193.24/x
  3. Step 3: Cross multiply
    398.56x = 598.02 × 193.24
  4. Step 4: Simplify right side
    398.56x = 115,561.38
  5. Step 5: Solve for x
    x = 115,561.38/398.56
  6. Step 6: Final answer
    x = 289.95

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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.