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Finding the Fourth Proportional to 647.87, 969.41 and 387.99

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Solution

The fourth proportional to 647.87, 969.41 and 387.99 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.87 : 969.41 = 387.99 : x
  2. Step 2: Convert to fraction form
    647.87/969.41 = 387.99/x
  3. Step 3: Cross multiply
    647.87x = 969.41 × 387.99
  4. Step 4: Simplify right side
    647.87x = 376,119.45
  5. Step 5: Solve for x
    x = 376,119.45/647.87
  6. Step 6: Final answer
    x = 580.55

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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.