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Finding the Fourth Proportional to 364.73, 544.66 and 286.82

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Solution

The fourth proportional to 364.73, 544.66 and 286.82 is: 428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.73 : 544.66 = 286.82 : x
  2. Step 2: Convert to fraction form
    364.73/544.66 = 286.82/x
  3. Step 3: Cross multiply
    364.73x = 544.66 × 286.82
  4. Step 4: Simplify right side
    364.73x = 156,217.95
  5. Step 5: Solve for x
    x = 156,217.95/364.73
  6. Step 6: Final answer
    x = 428.31

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Why These Related Problems?

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