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Finding the Fourth Proportional to 328.23, 492.44 and 174.29

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Solution

The fourth proportional to 328.23, 492.44 and 174.29 is: 261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.23 : 492.44 = 174.29 : x
  2. Step 2: Convert to fraction form
    328.23/492.44 = 174.29/x
  3. Step 3: Cross multiply
    328.23x = 492.44 × 174.29
  4. Step 4: Simplify right side
    328.23x = 85,824.03
  5. Step 5: Solve for x
    x = 85,824.03/328.23
  6. Step 6: Final answer
    x = 261.48

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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.