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Finding the Fourth Proportional to 584.83, 806.80 and 360.57

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Solution

The fourth proportional to 584.83, 806.80 and 360.57 is: 497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 806.80 = 360.57 : x
  2. Step 2: Convert to fraction form
    584.83/806.80 = 360.57/x
  3. Step 3: Cross multiply
    584.83x = 806.80 × 360.57
  4. Step 4: Simplify right side
    584.83x = 290,907.88
  5. Step 5: Solve for x
    x = 290,907.88/584.83
  6. Step 6: Final answer
    x = 497.42

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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.