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Finding the Fourth Proportional to 650.93, 976.53 and 218.07

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Solution

The fourth proportional to 650.93, 976.53 and 218.07 is: 327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.93 : 976.53 = 218.07 : x
  2. Step 2: Convert to fraction form
    650.93/976.53 = 218.07/x
  3. Step 3: Cross multiply
    650.93x = 976.53 × 218.07
  4. Step 4: Simplify right side
    650.93x = 212,951.90
  5. Step 5: Solve for x
    x = 212,951.90/650.93
  6. Step 6: Final answer
    x = 327.15

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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.