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Finding the Fourth Proportional to 450.44, 621.74 and 319.49

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Solution

The fourth proportional to 450.44, 621.74 and 319.49 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.44 : 621.74 = 319.49 : x
  2. Step 2: Convert to fraction form
    450.44/621.74 = 319.49/x
  3. Step 3: Cross multiply
    450.44x = 621.74 × 319.49
  4. Step 4: Simplify right side
    450.44x = 198,638.12
  5. Step 5: Solve for x
    x = 198,638.12/450.44
  6. Step 6: Final answer
    x = 440.99

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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.