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Finding the Fourth Proportional to 441.86, 662.31 and 210.60

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Solution

The fourth proportional to 441.86, 662.31 and 210.60 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.86 : 662.31 = 210.60 : x
  2. Step 2: Convert to fraction form
    441.86/662.31 = 210.60/x
  3. Step 3: Cross multiply
    441.86x = 662.31 × 210.60
  4. Step 4: Simplify right side
    441.86x = 139,482.49
  5. Step 5: Solve for x
    x = 139,482.49/441.86
  6. Step 6: Final answer
    x = 315.67

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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.