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Finding the Fourth Proportional to 511.32, 705.60 and 324.96

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Solution

The fourth proportional to 511.32, 705.60 and 324.96 is: 448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 705.60 = 324.96 : x
  2. Step 2: Convert to fraction form
    511.32/705.60 = 324.96/x
  3. Step 3: Cross multiply
    511.32x = 705.60 × 324.96
  4. Step 4: Simplify right side
    511.32x = 229,291.78
  5. Step 5: Solve for x
    x = 229,291.78/511.32
  6. Step 6: Final answer
    x = 448.43

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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.