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Finding the Fourth Proportional to 465.72, 642.48 and 341.22

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Solution

The fourth proportional to 465.72, 642.48 and 341.22 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 642.48 = 341.22 : x
  2. Step 2: Convert to fraction form
    465.72/642.48 = 341.22/x
  3. Step 3: Cross multiply
    465.72x = 642.48 × 341.22
  4. Step 4: Simplify right side
    465.72x = 219,227.03
  5. Step 5: Solve for x
    x = 219,227.03/465.72
  6. Step 6: Final answer
    x = 470.73

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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.