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Finding the Fourth Proportional to 634.04, 949.23 and 389.84

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Solution

The fourth proportional to 634.04, 949.23 and 389.84 is: 583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.04 : 949.23 = 389.84 : x
  2. Step 2: Convert to fraction form
    634.04/949.23 = 389.84/x
  3. Step 3: Cross multiply
    634.04x = 949.23 × 389.84
  4. Step 4: Simplify right side
    634.04x = 370,047.82
  5. Step 5: Solve for x
    x = 370,047.82/634.04
  6. Step 6: Final answer
    x = 583.63

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Why These Related Problems?

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