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Finding the Fourth Proportional to 465.62, 642.69 and 300.29

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Solution

The fourth proportional to 465.62, 642.69 and 300.29 is: 414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.62 : 642.69 = 300.29 : x
  2. Step 2: Convert to fraction form
    465.62/642.69 = 300.29/x
  3. Step 3: Cross multiply
    465.62x = 642.69 × 300.29
  4. Step 4: Simplify right side
    465.62x = 192,990.17
  5. Step 5: Solve for x
    x = 192,990.17/465.62
  6. Step 6: Final answer
    x = 414.48

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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.