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Finding the Fourth Proportional to 578.25, 866.25 and 333.99

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Solution

The fourth proportional to 578.25, 866.25 and 333.99 is: 500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 866.25 = 333.99 : x
  2. Step 2: Convert to fraction form
    578.25/866.25 = 333.99/x
  3. Step 3: Cross multiply
    578.25x = 866.25 × 333.99
  4. Step 4: Simplify right side
    578.25x = 289,318.84
  5. Step 5: Solve for x
    x = 289,318.84/578.25
  6. Step 6: Final answer
    x = 500.34

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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.