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Finding the Fourth Proportional to 328.72, 493.26 and 174.76

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Solution

The fourth proportional to 328.72, 493.26 and 174.76 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 493.26 = 174.76 : x
  2. Step 2: Convert to fraction form
    328.72/493.26 = 174.76/x
  3. Step 3: Cross multiply
    328.72x = 493.26 × 174.76
  4. Step 4: Simplify right side
    328.72x = 86,202.12
  5. Step 5: Solve for x
    x = 86,202.12/328.72
  6. Step 6: Final answer
    x = 262.24

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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.