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Finding the Fourth Proportional to 258.09, 384.89 and 219.81

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Solution

The fourth proportional to 258.09, 384.89 and 219.81 is: 327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 384.89 = 219.81 : x
  2. Step 2: Convert to fraction form
    258.09/384.89 = 219.81/x
  3. Step 3: Cross multiply
    258.09x = 384.89 × 219.81
  4. Step 4: Simplify right side
    258.09x = 84,603.02
  5. Step 5: Solve for x
    x = 84,603.02/258.09
  6. Step 6: Final answer
    x = 327.81

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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.