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Finding the Fourth Proportional to 831.16, 1,246.88 and 311.34

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Solution

The fourth proportional to 831.16, 1,246.88 and 311.34 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.16 : 1,246.88 = 311.34 : x
  2. Step 2: Convert to fraction form
    831.16/1,246.88 = 311.34/x
  3. Step 3: Cross multiply
    831.16x = 1,246.88 × 311.34
  4. Step 4: Simplify right side
    831.16x = 388,202.06
  5. Step 5: Solve for x
    x = 388,202.06/831.16
  6. Step 6: Final answer
    x = 467.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.