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Finding the Fourth Proportional to 628.04, 941.78 and 217.10

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Solution

The fourth proportional to 628.04, 941.78 and 217.10 is: 325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.04 : 941.78 = 217.10 : x
  2. Step 2: Convert to fraction form
    628.04/941.78 = 217.10/x
  3. Step 3: Cross multiply
    628.04x = 941.78 × 217.10
  4. Step 4: Simplify right side
    628.04x = 204,460.44
  5. Step 5: Solve for x
    x = 204,460.44/628.04
  6. Step 6: Final answer
    x = 325.55

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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.