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Finding the Fourth Proportional to 628.94, 868.12 and 367.06

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Solution

The fourth proportional to 628.94, 868.12 and 367.06 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.94 : 868.12 = 367.06 : x
  2. Step 2: Convert to fraction form
    628.94/868.12 = 367.06/x
  3. Step 3: Cross multiply
    628.94x = 868.12 × 367.06
  4. Step 4: Simplify right side
    628.94x = 318,652.13
  5. Step 5: Solve for x
    x = 318,652.13/628.94
  6. Step 6: Final answer
    x = 506.65

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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.