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Finding the Fourth Proportional to 944.05, 1,416.07 and 327.75

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Solution

The fourth proportional to 944.05, 1,416.07 and 327.75 is: 491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.05 : 1,416.07 = 327.75 : x
  2. Step 2: Convert to fraction form
    944.05/1,416.07 = 327.75/x
  3. Step 3: Cross multiply
    944.05x = 1,416.07 × 327.75
  4. Step 4: Simplify right side
    944.05x = 464,124.91
  5. Step 5: Solve for x
    x = 464,124.91/944.05
  6. Step 6: Final answer
    x = 491.63

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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.