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Finding the Fourth Proportional to 986.23, 1,478.28 and 369.52

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Solution

The fourth proportional to 986.23, 1,478.28 and 369.52 is: 553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.23 : 1,478.28 = 369.52 : x
  2. Step 2: Convert to fraction form
    986.23/1,478.28 = 369.52/x
  3. Step 3: Cross multiply
    986.23x = 1,478.28 × 369.52
  4. Step 4: Simplify right side
    986.23x = 546,254.03
  5. Step 5: Solve for x
    x = 546,254.03/986.23
  6. Step 6: Final answer
    x = 553.88

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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.