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Finding the Fourth Proportional to 286.74, 427.07 and 283.70

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Solution

The fourth proportional to 286.74, 427.07 and 283.70 is: 422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.74 : 427.07 = 283.70 : x
  2. Step 2: Convert to fraction form
    286.74/427.07 = 283.70/x
  3. Step 3: Cross multiply
    286.74x = 427.07 × 283.70
  4. Step 4: Simplify right side
    286.74x = 121,161.54
  5. Step 5: Solve for x
    x = 121,161.54/286.74
  6. Step 6: Final answer
    x = 422.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.