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Finding the Fourth Proportional to 447.34, 669.86 and 292.81

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Solution

The fourth proportional to 447.34, 669.86 and 292.81 is: 438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 669.86 = 292.81 : x
  2. Step 2: Convert to fraction form
    447.34/669.86 = 292.81/x
  3. Step 3: Cross multiply
    447.34x = 669.86 × 292.81
  4. Step 4: Simplify right side
    447.34x = 196,138.57
  5. Step 5: Solve for x
    x = 196,138.57/447.34
  6. Step 6: Final answer
    x = 438.46

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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.