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Finding the Fourth Proportional to 286.42, 427.21 and 277.75

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Solution

The fourth proportional to 286.42, 427.21 and 277.75 is: 414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 427.21 = 277.75 : x
  2. Step 2: Convert to fraction form
    286.42/427.21 = 277.75/x
  3. Step 3: Cross multiply
    286.42x = 427.21 × 277.75
  4. Step 4: Simplify right side
    286.42x = 118,657.58
  5. Step 5: Solve for x
    x = 118,657.58/286.42
  6. Step 6: Final answer
    x = 414.28

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Why These Related Problems?

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