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Finding the Fourth Proportional to 465.43, 642.26 and 341.61

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Solution

The fourth proportional to 465.43, 642.26 and 341.61 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.43 : 642.26 = 341.61 : x
  2. Step 2: Convert to fraction form
    465.43/642.26 = 341.61/x
  3. Step 3: Cross multiply
    465.43x = 642.26 × 341.61
  4. Step 4: Simplify right side
    465.43x = 219,399.23
  5. Step 5: Solve for x
    x = 219,399.23/465.43
  6. Step 6: Final answer
    x = 471.40

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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.