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Finding the Fourth Proportional to 628.01, 942.06 and 216.98

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Solution

The fourth proportional to 628.01, 942.06 and 216.98 is: 325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.01 : 942.06 = 216.98 : x
  2. Step 2: Convert to fraction form
    628.01/942.06 = 216.98/x
  3. Step 3: Cross multiply
    628.01x = 942.06 × 216.98
  4. Step 4: Simplify right side
    628.01x = 204,403.47
  5. Step 5: Solve for x
    x = 204,403.47/628.01
  6. Step 6: Final answer
    x = 325.48

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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.