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Finding the Fourth Proportional to 651.75, 977.64 and 267

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Solution

The fourth proportional to 651.75, 977.64 and 267 is: 400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 977.64 = 267 : x
  2. Step 2: Convert to fraction form
    651.75/977.64 = 267/x
  3. Step 3: Cross multiply
    651.75x = 977.64 × 267
  4. Step 4: Simplify right side
    651.75x = 261,029.88
  5. Step 5: Solve for x
    x = 261,029.88/651.75
  6. Step 6: Final answer
    x = 400.51

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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.