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Finding the Fourth Proportional to 677.88, 1,015.20 and 369.27

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Solution

The fourth proportional to 677.88, 1,015.20 and 369.27 is: 553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 1,015.20 = 369.27 : x
  2. Step 2: Convert to fraction form
    677.88/1,015.20 = 369.27/x
  3. Step 3: Cross multiply
    677.88x = 1,015.20 × 369.27
  4. Step 4: Simplify right side
    677.88x = 374,882.90
  5. Step 5: Solve for x
    x = 374,882.90/677.88
  6. Step 6: Final answer
    x = 553.02

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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.