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Finding the Fourth Proportional to 465.44, 642.14 and 325.78

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Solution

The fourth proportional to 465.44, 642.14 and 325.78 is: 449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.44 : 642.14 = 325.78 : x
  2. Step 2: Convert to fraction form
    465.44/642.14 = 325.78/x
  3. Step 3: Cross multiply
    465.44x = 642.14 × 325.78
  4. Step 4: Simplify right side
    465.44x = 209,196.37
  5. Step 5: Solve for x
    x = 209,196.37/465.44
  6. Step 6: Final answer
    x = 449.46

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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.