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Finding the Fourth Proportional to 830.44, 1,244.70 and 317.16

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Solution

The fourth proportional to 830.44, 1,244.70 and 317.16 is: 475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,244.70 = 317.16 : x
  2. Step 2: Convert to fraction form
    830.44/1,244.70 = 317.16/x
  3. Step 3: Cross multiply
    830.44x = 1,244.70 × 317.16
  4. Step 4: Simplify right side
    830.44x = 394,769.05
  5. Step 5: Solve for x
    x = 394,769.05/830.44
  6. Step 6: Final answer
    x = 475.37

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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.