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Finding the Fourth Proportional to 831.41, 1,247.25 and 311.59

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Solution

The fourth proportional to 831.41, 1,247.25 and 311.59 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.41 : 1,247.25 = 311.59 : x
  2. Step 2: Convert to fraction form
    831.41/1,247.25 = 311.59/x
  3. Step 3: Cross multiply
    831.41x = 1,247.25 × 311.59
  4. Step 4: Simplify right side
    831.41x = 388,630.63
  5. Step 5: Solve for x
    x = 388,630.63/831.41
  6. Step 6: Final answer
    x = 467.44

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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.