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Finding the Fourth Proportional to 328.37, 492.45 and 97.21

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Solution

The fourth proportional to 328.37, 492.45 and 97.21 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.37 : 492.45 = 97.21 : x
  2. Step 2: Convert to fraction form
    328.37/492.45 = 97.21/x
  3. Step 3: Cross multiply
    328.37x = 492.45 × 97.21
  4. Step 4: Simplify right side
    328.37x = 47,871.32
  5. Step 5: Solve for x
    x = 47,871.32/328.37
  6. Step 6: Final answer
    x = 145.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.