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Finding the Fourth Proportional to 325.38, 484.80 and 306.75

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Solution

The fourth proportional to 325.38, 484.80 and 306.75 is: 457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 484.80 = 306.75 : x
  2. Step 2: Convert to fraction form
    325.38/484.80 = 306.75/x
  3. Step 3: Cross multiply
    325.38x = 484.80 × 306.75
  4. Step 4: Simplify right side
    325.38x = 148,712.40
  5. Step 5: Solve for x
    x = 148,712.40/325.38
  6. Step 6: Final answer
    x = 457.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.