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Finding the Fourth Proportional to 662.24, 912.67 and 465.41

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Solution

The fourth proportional to 662.24, 912.67 and 465.41 is: 641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 912.67 = 465.41 : x
  2. Step 2: Convert to fraction form
    662.24/912.67 = 465.41/x
  3. Step 3: Cross multiply
    662.24x = 912.67 × 465.41
  4. Step 4: Simplify right side
    662.24x = 424,766.86
  5. Step 5: Solve for x
    x = 424,766.86/662.24
  6. Step 6: Final answer
    x = 641.41

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