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Finding the Fourth Proportional to 831.33, 1,246.89 and 344.32

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Solution

The fourth proportional to 831.33, 1,246.89 and 344.32 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.33 : 1,246.89 = 344.32 : x
  2. Step 2: Convert to fraction form
    831.33/1,246.89 = 344.32/x
  3. Step 3: Cross multiply
    831.33x = 1,246.89 × 344.32
  4. Step 4: Simplify right side
    831.33x = 429,329.16
  5. Step 5: Solve for x
    x = 429,329.16/831.33
  6. Step 6: Final answer
    x = 516.44

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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.