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Finding the Fourth Proportional to 450.32, 674.90 and 438.80

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Solution

The fourth proportional to 450.32, 674.90 and 438.80 is: 657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 674.90 = 438.80 : x
  2. Step 2: Convert to fraction form
    450.32/674.90 = 438.80/x
  3. Step 3: Cross multiply
    450.32x = 674.90 × 438.80
  4. Step 4: Simplify right side
    450.32x = 296,143.84
  5. Step 5: Solve for x
    x = 296,143.84/450.32
  6. Step 6: Final answer
    x = 657.63

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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.