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Finding the Fourth Proportional to 1,477.44, 2,216.10 and 366.83

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Solution

The fourth proportional to 1,477.44, 2,216.10 and 366.83 is: 550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.44 : 2,216.10 = 366.83 : x
  2. Step 2: Convert to fraction form
    1,477.44/2,216.10 = 366.83/x
  3. Step 3: Cross multiply
    1,477.44x = 2,216.10 × 366.83
  4. Step 4: Simplify right side
    1,477.44x = 812,937.11
  5. Step 5: Solve for x
    x = 812,937.11/1,477.44
  6. Step 6: Final answer
    x = 550.23

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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.