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Finding the Fourth Proportional to 1,477.72, 2,216.55 and 367.13

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Solution

The fourth proportional to 1,477.72, 2,216.55 and 367.13 is: 550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.72 : 2,216.55 = 367.13 : x
  2. Step 2: Convert to fraction form
    1,477.72/2,216.55 = 367.13/x
  3. Step 3: Cross multiply
    1,477.72x = 2,216.55 × 367.13
  4. Step 4: Simplify right side
    1,477.72x = 813,766.85
  5. Step 5: Solve for x
    x = 813,766.85/1,477.72
  6. Step 6: Final answer
    x = 550.69

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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.