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Finding the Fourth Proportional to 511.36, 705.99 and 325.12

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Solution

The fourth proportional to 511.36, 705.99 and 325.12 is: 448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 705.99 = 325.12 : x
  2. Step 2: Convert to fraction form
    511.36/705.99 = 325.12/x
  3. Step 3: Cross multiply
    511.36x = 705.99 × 325.12
  4. Step 4: Simplify right side
    511.36x = 229,531.47
  5. Step 5: Solve for x
    x = 229,531.47/511.36
  6. Step 6: Final answer
    x = 448.86

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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.