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Finding the Fourth Proportional to 441.78, 661.86 and 278.88

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Solution

The fourth proportional to 441.78, 661.86 and 278.88 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.78 : 661.86 = 278.88 : x
  2. Step 2: Convert to fraction form
    441.78/661.86 = 278.88/x
  3. Step 3: Cross multiply
    441.78x = 661.86 × 278.88
  4. Step 4: Simplify right side
    441.78x = 184,579.52
  5. Step 5: Solve for x
    x = 184,579.52/441.78
  6. Step 6: Final answer
    x = 417.81

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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.