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Finding the Fourth Proportional to 465.36, 642.66 and 325.82

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Solution

The fourth proportional to 465.36, 642.66 and 325.82 is: 449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 642.66 = 325.82 : x
  2. Step 2: Convert to fraction form
    465.36/642.66 = 325.82/x
  3. Step 3: Cross multiply
    465.36x = 642.66 × 325.82
  4. Step 4: Simplify right side
    465.36x = 209,391.48
  5. Step 5: Solve for x
    x = 209,391.48/465.36
  6. Step 6: Final answer
    x = 449.96

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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.