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Finding the Fourth Proportional to 441, 608.64 and 286.08

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Solution

The fourth proportional to 441, 608.64 and 286.08 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441 : 608.64 = 286.08 : x
  2. Step 2: Convert to fraction form
    441/608.64 = 286.08/x
  3. Step 3: Cross multiply
    441x = 608.64 × 286.08
  4. Step 4: Simplify right side
    441x = 174,119.73
  5. Step 5: Solve for x
    x = 174,119.73/441
  6. Step 6: Final answer
    x = 394.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.