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Finding the Fourth Proportional to 398.50, 597.75 and 109.94

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Solution

The fourth proportional to 398.50, 597.75 and 109.94 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 597.75 = 109.94 : x
  2. Step 2: Convert to fraction form
    398.50/597.75 = 109.94/x
  3. Step 3: Cross multiply
    398.50x = 597.75 × 109.94
  4. Step 4: Simplify right side
    398.50x = 65,715.14
  5. Step 5: Solve for x
    x = 65,715.14/398.50
  6. Step 6: Final answer
    x = 164.91

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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.