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Finding the Fourth Proportional to 448.72, 669.80 and 394.04

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Solution

The fourth proportional to 448.72, 669.80 and 394.04 is: 588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 669.80 = 394.04 : x
  2. Step 2: Convert to fraction form
    448.72/669.80 = 394.04/x
  3. Step 3: Cross multiply
    448.72x = 669.80 × 394.04
  4. Step 4: Simplify right side
    448.72x = 263,930.65
  5. Step 5: Solve for x
    x = 263,930.65/448.72
  6. Step 6: Final answer
    x = 588.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.