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Finding the Fourth Proportional to 421.73, 580.39 and 328.11

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Solution

The fourth proportional to 421.73, 580.39 and 328.11 is: 451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.73 : 580.39 = 328.11 : x
  2. Step 2: Convert to fraction form
    421.73/580.39 = 328.11/x
  3. Step 3: Cross multiply
    421.73x = 580.39 × 328.11
  4. Step 4: Simplify right side
    421.73x = 190,431.76
  5. Step 5: Solve for x
    x = 190,431.76/421.73
  6. Step 6: Final answer
    x = 451.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.