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Finding the Fourth Proportional to 443.98, 665.34 and 289.54

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Solution

The fourth proportional to 443.98, 665.34 and 289.54 is: 433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.98 : 665.34 = 289.54 : x
  2. Step 2: Convert to fraction form
    443.98/665.34 = 289.54/x
  3. Step 3: Cross multiply
    443.98x = 665.34 × 289.54
  4. Step 4: Simplify right side
    443.98x = 192,642.54
  5. Step 5: Solve for x
    x = 192,642.54/443.98
  6. Step 6: Final answer
    x = 433.90

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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.