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Finding the Fourth Proportional to 584.85, 806.94 and 348.78

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Solution

The fourth proportional to 584.85, 806.94 and 348.78 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.85 : 806.94 = 348.78 : x
  2. Step 2: Convert to fraction form
    584.85/806.94 = 348.78/x
  3. Step 3: Cross multiply
    584.85x = 806.94 × 348.78
  4. Step 4: Simplify right side
    584.85x = 281,444.53
  5. Step 5: Solve for x
    x = 281,444.53/584.85
  6. Step 6: Final answer
    x = 481.23

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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.