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Finding the Fourth Proportional to 441.96, 662.02 and 278.84

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Solution

The fourth proportional to 441.96, 662.02 and 278.84 is: 417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.96 : 662.02 = 278.84 : x
  2. Step 2: Convert to fraction form
    441.96/662.02 = 278.84/x
  3. Step 3: Cross multiply
    441.96x = 662.02 × 278.84
  4. Step 4: Simplify right side
    441.96x = 184,600.18
  5. Step 5: Solve for x
    x = 184,600.18/441.96
  6. Step 6: Final answer
    x = 417.69

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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.