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Finding the Fourth Proportional to 328.20, 494.79 and 328.20

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Solution

The fourth proportional to 328.20, 494.79 and 328.20 is: 494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.20 : 494.79 = 328.20 : x
  2. Step 2: Convert to fraction form
    328.20/494.79 = 328.20/x
  3. Step 3: Cross multiply
    328.20x = 494.79 × 328.20
  4. Step 4: Simplify right side
    328.20x = 162,390.08
  5. Step 5: Solve for x
    x = 162,390.08/328.20
  6. Step 6: Final answer
    x = 494.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.