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Finding the Fourth Proportional to 397.90, 596.85 and 109.34

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Solution

The fourth proportional to 397.90, 596.85 and 109.34 is: 164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.90 : 596.85 = 109.34 : x
  2. Step 2: Convert to fraction form
    397.90/596.85 = 109.34/x
  3. Step 3: Cross multiply
    397.90x = 596.85 × 109.34
  4. Step 4: Simplify right side
    397.90x = 65,259.58
  5. Step 5: Solve for x
    x = 65,259.58/397.90
  6. Step 6: Final answer
    x = 164.01

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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.