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Finding the Fourth Proportional to 328.02, 492.75 and 220.02

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Solution

The fourth proportional to 328.02, 492.75 and 220.02 is: 330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.02 : 492.75 = 220.02 : x
  2. Step 2: Convert to fraction form
    328.02/492.75 = 220.02/x
  3. Step 3: Cross multiply
    328.02x = 492.75 × 220.02
  4. Step 4: Simplify right side
    328.02x = 108,414.86
  5. Step 5: Solve for x
    x = 108,414.86/328.02
  6. Step 6: Final answer
    x = 330.51

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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.