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Finding the Fourth Proportional to 622.89, 859.61 and 343.15

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Solution

The fourth proportional to 622.89, 859.61 and 343.15 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.89 : 859.61 = 343.15 : x
  2. Step 2: Convert to fraction form
    622.89/859.61 = 343.15/x
  3. Step 3: Cross multiply
    622.89x = 859.61 × 343.15
  4. Step 4: Simplify right side
    622.89x = 294,969.16
  5. Step 5: Solve for x
    x = 294,969.16/622.89
  6. Step 6: Final answer
    x = 473.55

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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.