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Finding the Fourth Proportional to 464.63, 696.94 and 441.56

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Solution

The fourth proportional to 464.63, 696.94 and 441.56 is: 662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 696.94 = 441.56 : x
  2. Step 2: Convert to fraction form
    464.63/696.94 = 441.56/x
  3. Step 3: Cross multiply
    464.63x = 696.94 × 441.56
  4. Step 4: Simplify right side
    464.63x = 307,740.83
  5. Step 5: Solve for x
    x = 307,740.83/464.63
  6. Step 6: Final answer
    x = 662.34

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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.