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Finding the Fourth Proportional to 918.16, 1,377.16 and 293.43

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Solution

The fourth proportional to 918.16, 1,377.16 and 293.43 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,377.16 = 293.43 : x
  2. Step 2: Convert to fraction form
    918.16/1,377.16 = 293.43/x
  3. Step 3: Cross multiply
    918.16x = 1,377.16 × 293.43
  4. Step 4: Simplify right side
    918.16x = 404,098.59
  5. Step 5: Solve for x
    x = 404,098.59/918.16
  6. Step 6: Final answer
    x = 440.12

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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.