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Finding the Fourth Proportional to 622.96, 859.71 and 343.21

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Solution

The fourth proportional to 622.96, 859.71 and 343.21 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.96 : 859.71 = 343.21 : x
  2. Step 2: Convert to fraction form
    622.96/859.71 = 343.21/x
  3. Step 3: Cross multiply
    622.96x = 859.71 × 343.21
  4. Step 4: Simplify right side
    622.96x = 295,058.92
  5. Step 5: Solve for x
    x = 295,058.92/622.96
  6. Step 6: Final answer
    x = 473.64

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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.