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Finding the Fourth Proportional to 831.36, 1,246.28 and 311.00

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Solution

The fourth proportional to 831.36, 1,246.28 and 311.00 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.36 : 1,246.28 = 311.00 : x
  2. Step 2: Convert to fraction form
    831.36/1,246.28 = 311.00/x
  3. Step 3: Cross multiply
    831.36x = 1,246.28 × 311.00
  4. Step 4: Simplify right side
    831.36x = 387,585.29
  5. Step 5: Solve for x
    x = 387,585.29/831.36
  6. Step 6: Final answer
    x = 466.21

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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.