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Finding the Fourth Proportional to 554.49, 831.56 and 225.27

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Solution

The fourth proportional to 554.49, 831.56 and 225.27 is: 337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.49 : 831.56 = 225.27 : x
  2. Step 2: Convert to fraction form
    554.49/831.56 = 225.27/x
  3. Step 3: Cross multiply
    554.49x = 831.56 × 225.27
  4. Step 4: Simplify right side
    554.49x = 187,324.39
  5. Step 5: Solve for x
    x = 187,324.39/554.49
  6. Step 6: Final answer
    x = 337.83

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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.