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Finding the Fourth Proportional to 465.96, 641.38 and 410.84

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Solution

The fourth proportional to 465.96, 641.38 and 410.84 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 641.38 = 410.84 : x
  2. Step 2: Convert to fraction form
    465.96/641.38 = 410.84/x
  3. Step 3: Cross multiply
    465.96x = 641.38 × 410.84
  4. Step 4: Simplify right side
    465.96x = 263,504.56
  5. Step 5: Solve for x
    x = 263,504.56/465.96
  6. Step 6: Final answer
    x = 565.51

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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.