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Finding the Fourth Proportional to 802.44, 1,202.82 and 369.24

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Solution

The fourth proportional to 802.44, 1,202.82 and 369.24 is: 553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.44 : 1,202.82 = 369.24 : x
  2. Step 2: Convert to fraction form
    802.44/1,202.82 = 369.24/x
  3. Step 3: Cross multiply
    802.44x = 1,202.82 × 369.24
  4. Step 4: Simplify right side
    802.44x = 444,129.26
  5. Step 5: Solve for x
    x = 444,129.26/802.44
  6. Step 6: Final answer
    x = 553.47

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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.