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Finding the Fourth Proportional to 868.35, 1,302.53 and 219.09

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Solution

The fourth proportional to 868.35, 1,302.53 and 219.09 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.35 : 1,302.53 = 219.09 : x
  2. Step 2: Convert to fraction form
    868.35/1,302.53 = 219.09/x
  3. Step 3: Cross multiply
    868.35x = 1,302.53 × 219.09
  4. Step 4: Simplify right side
    868.35x = 285,371.30
  5. Step 5: Solve for x
    x = 285,371.30/868.35
  6. Step 6: Final answer
    x = 328.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.