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Finding the Fourth Proportional to 958.96, 1,438.44 and 309.70

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Solution

The fourth proportional to 958.96, 1,438.44 and 309.70 is: 464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.96 : 1,438.44 = 309.70 : x
  2. Step 2: Convert to fraction form
    958.96/1,438.44 = 309.70/x
  3. Step 3: Cross multiply
    958.96x = 1,438.44 × 309.70
  4. Step 4: Simplify right side
    958.96x = 445,484.87
  5. Step 5: Solve for x
    x = 445,484.87/958.96
  6. Step 6: Final answer
    x = 464.55

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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.