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Finding the Fourth Proportional to 573.87, 859.74 and 419.87

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Solution

The fourth proportional to 573.87, 859.74 and 419.87 is: 629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.87 : 859.74 = 419.87 : x
  2. Step 2: Convert to fraction form
    573.87/859.74 = 419.87/x
  3. Step 3: Cross multiply
    573.87x = 859.74 × 419.87
  4. Step 4: Simplify right side
    573.87x = 360,974.74
  5. Step 5: Solve for x
    x = 360,974.74/573.87
  6. Step 6: Final answer
    x = 629.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.