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Finding the Fourth Proportional to 328.45, 492.53 and 97.26

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Solution

The fourth proportional to 328.45, 492.53 and 97.26 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.45 : 492.53 = 97.26 : x
  2. Step 2: Convert to fraction form
    328.45/492.53 = 97.26/x
  3. Step 3: Cross multiply
    328.45x = 492.53 × 97.26
  4. Step 4: Simplify right side
    328.45x = 47,902.98
  5. Step 5: Solve for x
    x = 47,902.98/328.45
  6. Step 6: Final answer
    x = 145.85

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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.