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Finding the Fourth Proportional to 912.94, 1,369.44 and 365.18

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Solution

The fourth proportional to 912.94, 1,369.44 and 365.18 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.94 : 1,369.44 = 365.18 : x
  2. Step 2: Convert to fraction form
    912.94/1,369.44 = 365.18/x
  3. Step 3: Cross multiply
    912.94x = 1,369.44 × 365.18
  4. Step 4: Simplify right side
    912.94x = 500,085.25
  5. Step 5: Solve for x
    x = 500,085.25/912.94
  6. Step 6: Final answer
    x = 547.78

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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.