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Finding the Fourth Proportional to 446.09, 669.14 and 292.99

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Solution

The fourth proportional to 446.09, 669.14 and 292.99 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.09 : 669.14 = 292.99 : x
  2. Step 2: Convert to fraction form
    446.09/669.14 = 292.99/x
  3. Step 3: Cross multiply
    446.09x = 669.14 × 292.99
  4. Step 4: Simplify right side
    446.09x = 196,046.52
  5. Step 5: Solve for x
    x = 196,046.52/446.09
  6. Step 6: Final answer
    x = 439.48

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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.