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Finding the Fourth Proportional to 441.51, 661.31 and 286.93

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Solution

The fourth proportional to 441.51, 661.31 and 286.93 is: 429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.51 : 661.31 = 286.93 : x
  2. Step 2: Convert to fraction form
    441.51/661.31 = 286.93/x
  3. Step 3: Cross multiply
    441.51x = 661.31 × 286.93
  4. Step 4: Simplify right side
    441.51x = 189,749.68
  5. Step 5: Solve for x
    x = 189,749.68/441.51
  6. Step 6: Final answer
    x = 429.77

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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.