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Finding the Fourth Proportional to 284.69, 427.44 and 234.07

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Solution

The fourth proportional to 284.69, 427.44 and 234.07 is: 351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 427.44 = 234.07 : x
  2. Step 2: Convert to fraction form
    284.69/427.44 = 234.07/x
  3. Step 3: Cross multiply
    284.69x = 427.44 × 234.07
  4. Step 4: Simplify right side
    284.69x = 100,050.88
  5. Step 5: Solve for x
    x = 100,050.88/284.69
  6. Step 6: Final answer
    x = 351.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.