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Finding the Fourth Proportional to 451.73, 623.21 and 285.89

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Solution

The fourth proportional to 451.73, 623.21 and 285.89 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.73 : 623.21 = 285.89 : x
  2. Step 2: Convert to fraction form
    451.73/623.21 = 285.89/x
  3. Step 3: Cross multiply
    451.73x = 623.21 × 285.89
  4. Step 4: Simplify right side
    451.73x = 178,164.96
  5. Step 5: Solve for x
    x = 178,164.96/451.73
  6. Step 6: Final answer
    x = 394.40

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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.