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Finding the Fourth Proportional to 284.83, 427.26 and 76.62

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Solution

The fourth proportional to 284.83, 427.26 and 76.62 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.83 : 427.26 = 76.62 : x
  2. Step 2: Convert to fraction form
    284.83/427.26 = 76.62/x
  3. Step 3: Cross multiply
    284.83x = 427.26 × 76.62
  4. Step 4: Simplify right side
    284.83x = 32,738.12
  5. Step 5: Solve for x
    x = 32,738.12/284.83
  6. Step 6: Final answer
    x = 114.94

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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.