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Finding the Fourth Proportional to 398.64, 598.01 and 167.69

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Solution

The fourth proportional to 398.64, 598.01 and 167.69 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.64 : 598.01 = 167.69 : x
  2. Step 2: Convert to fraction form
    398.64/598.01 = 167.69/x
  3. Step 3: Cross multiply
    398.64x = 598.01 × 167.69
  4. Step 4: Simplify right side
    398.64x = 100,280.30
  5. Step 5: Solve for x
    x = 100,280.30/398.64
  6. Step 6: Final answer
    x = 251.56

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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.