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Finding the Fourth Proportional to 511.36, 705.44 and 324.80

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Solution

The fourth proportional to 511.36, 705.44 and 324.80 is: 448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 705.44 = 324.80 : x
  2. Step 2: Convert to fraction form
    511.36/705.44 = 324.80/x
  3. Step 3: Cross multiply
    511.36x = 705.44 × 324.80
  4. Step 4: Simplify right side
    511.36x = 229,126.91
  5. Step 5: Solve for x
    x = 229,126.91/511.36
  6. Step 6: Final answer
    x = 448.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.