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Finding the Fourth Proportional to 584.98, 806.97 and 395.93

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Solution

The fourth proportional to 584.98, 806.97 and 395.93 is: 546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.98 : 806.97 = 395.93 : x
  2. Step 2: Convert to fraction form
    584.98/806.97 = 395.93/x
  3. Step 3: Cross multiply
    584.98x = 806.97 × 395.93
  4. Step 4: Simplify right side
    584.98x = 319,503.98
  5. Step 5: Solve for x
    x = 319,503.98/584.98
  6. Step 6: Final answer
    x = 546.18

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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.