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Finding the Fourth Proportional to 628.90, 942.30 and 411.94

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Solution

The fourth proportional to 628.90, 942.30 and 411.94 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.90 : 942.30 = 411.94 : x
  2. Step 2: Convert to fraction form
    628.90/942.30 = 411.94/x
  3. Step 3: Cross multiply
    628.90x = 942.30 × 411.94
  4. Step 4: Simplify right side
    628.90x = 388,171.06
  5. Step 5: Solve for x
    x = 388,171.06/628.90
  6. Step 6: Final answer
    x = 617.22

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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.