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Finding the Fourth Proportional to 918.24, 1,377.37 and 268.99

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Solution

The fourth proportional to 918.24, 1,377.37 and 268.99 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.24 : 1,377.37 = 268.99 : x
  2. Step 2: Convert to fraction form
    918.24/1,377.37 = 268.99/x
  3. Step 3: Cross multiply
    918.24x = 1,377.37 × 268.99
  4. Step 4: Simplify right side
    918.24x = 370,495.65
  5. Step 5: Solve for x
    x = 370,495.65/918.24
  6. Step 6: Final answer
    x = 403.48

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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.