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Finding the Fourth Proportional to 286.07, 423.74 and 282.83

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Solution

The fourth proportional to 286.07, 423.74 and 282.83 is: 418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.07 : 423.74 = 282.83 : x
  2. Step 2: Convert to fraction form
    286.07/423.74 = 282.83/x
  3. Step 3: Cross multiply
    286.07x = 423.74 × 282.83
  4. Step 4: Simplify right side
    286.07x = 119,846.38
  5. Step 5: Solve for x
    x = 119,846.38/286.07
  6. Step 6: Final answer
    x = 418.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.