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Finding the Fourth Proportional to 441.96, 610.42 and 294.32

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Solution

The fourth proportional to 441.96, 610.42 and 294.32 is: 406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.96 : 610.42 = 294.32 : x
  2. Step 2: Convert to fraction form
    441.96/610.42 = 294.32/x
  3. Step 3: Cross multiply
    441.96x = 610.42 × 294.32
  4. Step 4: Simplify right side
    441.96x = 179,658.81
  5. Step 5: Solve for x
    x = 179,658.81/441.96
  6. Step 6: Final answer
    x = 406.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.