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Finding the Fourth Proportional to 967.35, 1,450.89 and 309.30

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Solution

The fourth proportional to 967.35, 1,450.89 and 309.30 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.35 : 1,450.89 = 309.30 : x
  2. Step 2: Convert to fraction form
    967.35/1,450.89 = 309.30/x
  3. Step 3: Cross multiply
    967.35x = 1,450.89 × 309.30
  4. Step 4: Simplify right side
    967.35x = 448,758.73
  5. Step 5: Solve for x
    x = 448,758.73/967.35
  6. Step 6: Final answer
    x = 463.91

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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.