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Finding the Fourth Proportional to 488.22, 673.71 and 286.40

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Solution

The fourth proportional to 488.22, 673.71 and 286.40 is: 395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.22 : 673.71 = 286.40 : x
  2. Step 2: Convert to fraction form
    488.22/673.71 = 286.40/x
  3. Step 3: Cross multiply
    488.22x = 673.71 × 286.40
  4. Step 4: Simplify right side
    488.22x = 192,947.18
  5. Step 5: Solve for x
    x = 192,947.18/488.22
  6. Step 6: Final answer
    x = 395.21

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