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Finding the Fourth Proportional to 584.31, 806 and 377.31

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Solution

The fourth proportional to 584.31, 806 and 377.31 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 806 = 377.31 : x
  2. Step 2: Convert to fraction form
    584.31/806 = 377.31/x
  3. Step 3: Cross multiply
    584.31x = 806 × 377.31
  4. Step 4: Simplify right side
    584.31x = 304,107.83
  5. Step 5: Solve for x
    x = 304,107.83/584.31
  6. Step 6: Final answer
    x = 520.46

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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.