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Finding the Fourth Proportional to 802.18, 1,202.96 and 369.03

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Solution

The fourth proportional to 802.18, 1,202.96 and 369.03 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.18 : 1,202.96 = 369.03 : x
  2. Step 2: Convert to fraction form
    802.18/1,202.96 = 369.03/x
  3. Step 3: Cross multiply
    802.18x = 1,202.96 × 369.03
  4. Step 4: Simplify right side
    802.18x = 443,928.33
  5. Step 5: Solve for x
    x = 443,928.33/802.18
  6. Step 6: Final answer
    x = 553.40

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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.