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Finding the Fourth Proportional to 651.40, 977.20 and 218.44

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Solution

The fourth proportional to 651.40, 977.20 and 218.44 is: 327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 977.20 = 218.44 : x
  2. Step 2: Convert to fraction form
    651.40/977.20 = 218.44/x
  3. Step 3: Cross multiply
    651.40x = 977.20 × 218.44
  4. Step 4: Simplify right side
    651.40x = 213,459.57
  5. Step 5: Solve for x
    x = 213,459.57/651.40
  6. Step 6: Final answer
    x = 327.69

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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.