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Finding the Fourth Proportional to 967.53, 1,451.38 and 309.50

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Solution

The fourth proportional to 967.53, 1,451.38 and 309.50 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.53 : 1,451.38 = 309.50 : x
  2. Step 2: Convert to fraction form
    967.53/1,451.38 = 309.50/x
  3. Step 3: Cross multiply
    967.53x = 1,451.38 × 309.50
  4. Step 4: Simplify right side
    967.53x = 449,202.11
  5. Step 5: Solve for x
    x = 449,202.11/967.53
  6. Step 6: Final answer
    x = 464.28

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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.