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Finding the Fourth Proportional to 400.05, 600.96 and 284.76

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Solution

The fourth proportional to 400.05, 600.96 and 284.76 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 600.96 = 284.76 : x
  2. Step 2: Convert to fraction form
    400.05/600.96 = 284.76/x
  3. Step 3: Cross multiply
    400.05x = 600.96 × 284.76
  4. Step 4: Simplify right side
    400.05x = 171,129.37
  5. Step 5: Solve for x
    x = 171,129.37/400.05
  6. Step 6: Final answer
    x = 427.77

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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.