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Finding the Fourth Proportional to 286.28, 426.69 and 277.93

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Solution

The fourth proportional to 286.28, 426.69 and 277.93 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.28 : 426.69 = 277.93 : x
  2. Step 2: Convert to fraction form
    286.28/426.69 = 277.93/x
  3. Step 3: Cross multiply
    286.28x = 426.69 × 277.93
  4. Step 4: Simplify right side
    286.28x = 118,591.27
  5. Step 5: Solve for x
    x = 118,591.27/286.28
  6. Step 6: Final answer
    x = 414.24

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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.