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Finding the Fourth Proportional to 918.44, 1,377.74 and 398.45

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Solution

The fourth proportional to 918.44, 1,377.74 and 398.45 is: 597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.44 : 1,377.74 = 398.45 : x
  2. Step 2: Convert to fraction form
    918.44/1,377.74 = 398.45/x
  3. Step 3: Cross multiply
    918.44x = 1,377.74 × 398.45
  4. Step 4: Simplify right side
    918.44x = 548,951.62
  5. Step 5: Solve for x
    x = 548,951.62/918.44
  6. Step 6: Final answer
    x = 597.70

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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.