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Finding the Fourth Proportional to 328.94, 493.49 and 109.64

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Solution

The fourth proportional to 328.94, 493.49 and 109.64 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.94 : 493.49 = 109.64 : x
  2. Step 2: Convert to fraction form
    328.94/493.49 = 109.64/x
  3. Step 3: Cross multiply
    328.94x = 493.49 × 109.64
  4. Step 4: Simplify right side
    328.94x = 54,103.23
  5. Step 5: Solve for x
    x = 54,103.23/328.94
  6. Step 6: Final answer
    x = 164.48

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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.