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Finding the Fourth Proportional to 645.48, 890.73 and 365.73

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Solution

The fourth proportional to 645.48, 890.73 and 365.73 is: 504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.48 : 890.73 = 365.73 : x
  2. Step 2: Convert to fraction form
    645.48/890.73 = 365.73/x
  3. Step 3: Cross multiply
    645.48x = 890.73 × 365.73
  4. Step 4: Simplify right side
    645.48x = 325,766.68
  5. Step 5: Solve for x
    x = 325,766.68/645.48
  6. Step 6: Final answer
    x = 504.69

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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.