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Finding the Fourth Proportional to 441.61, 662.46 and 210.46

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Solution

The fourth proportional to 441.61, 662.46 and 210.46 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.61 : 662.46 = 210.46 : x
  2. Step 2: Convert to fraction form
    441.61/662.46 = 210.46/x
  3. Step 3: Cross multiply
    441.61x = 662.46 × 210.46
  4. Step 4: Simplify right side
    441.61x = 139,421.33
  5. Step 5: Solve for x
    x = 139,421.33/441.61
  6. Step 6: Final answer
    x = 315.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.