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Finding the Fourth Proportional to 465.45, 642.15 and 325.79

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Solution

The fourth proportional to 465.45, 642.15 and 325.79 is: 449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.45 : 642.15 = 325.79 : x
  2. Step 2: Convert to fraction form
    465.45/642.15 = 325.79/x
  3. Step 3: Cross multiply
    465.45x = 642.15 × 325.79
  4. Step 4: Simplify right side
    465.45x = 209,202.84
  5. Step 5: Solve for x
    x = 209,202.84/465.45
  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.