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Finding the Fourth Proportional to 584.93, 806.88 and 371.85

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Solution

The fourth proportional to 584.93, 806.88 and 371.85 is: 512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.93 : 806.88 = 371.85 : x
  2. Step 2: Convert to fraction form
    584.93/806.88 = 371.85/x
  3. Step 3: Cross multiply
    584.93x = 806.88 × 371.85
  4. Step 4: Simplify right side
    584.93x = 300,038.33
  5. Step 5: Solve for x
    x = 300,038.33/584.93
  6. Step 6: Final answer
    x = 512.95

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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.