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Finding the Fourth Proportional to 967.37, 1,451.21 and 317.88

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Solution

The fourth proportional to 967.37, 1,451.21 and 317.88 is: 476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.37 : 1,451.21 = 317.88 : x
  2. Step 2: Convert to fraction form
    967.37/1,451.21 = 317.88/x
  3. Step 3: Cross multiply
    967.37x = 1,451.21 × 317.88
  4. Step 4: Simplify right side
    967.37x = 461,309.05
  5. Step 5: Solve for x
    x = 461,309.05/967.37
  6. Step 6: Final answer
    x = 476.87

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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.