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Finding the Fourth Proportional to 628.14, 942.11 and 217.07

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Solution

The fourth proportional to 628.14, 942.11 and 217.07 is: 325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.14 : 942.11 = 217.07 : x
  2. Step 2: Convert to fraction form
    628.14/942.11 = 217.07/x
  3. Step 3: Cross multiply
    628.14x = 942.11 × 217.07
  4. Step 4: Simplify right side
    628.14x = 204,503.82
  5. Step 5: Solve for x
    x = 204,503.82/628.14
  6. Step 6: Final answer
    x = 325.57

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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.