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Finding the Fourth Proportional to 648.82, 973.14 and 215.92

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Solution

The fourth proportional to 648.82, 973.14 and 215.92 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.82 : 973.14 = 215.92 : x
  2. Step 2: Convert to fraction form
    648.82/973.14 = 215.92/x
  3. Step 3: Cross multiply
    648.82x = 973.14 × 215.92
  4. Step 4: Simplify right side
    648.82x = 210,120.39
  5. Step 5: Solve for x
    x = 210,120.39/648.82
  6. Step 6: Final answer
    x = 323.85

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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.