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Finding the Fourth Proportional to 465.52, 641.53 and 341.22

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Solution

The fourth proportional to 465.52, 641.53 and 341.22 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 641.53 = 341.22 : x
  2. Step 2: Convert to fraction form
    465.52/641.53 = 341.22/x
  3. Step 3: Cross multiply
    465.52x = 641.53 × 341.22
  4. Step 4: Simplify right side
    465.52x = 218,902.87
  5. Step 5: Solve for x
    x = 218,902.87/465.52
  6. Step 6: Final answer
    x = 470.23

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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.