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Finding the Fourth Proportional to 622.98, 859.68 and 343.18

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Solution

The fourth proportional to 622.98, 859.68 and 343.18 is: 473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.98 : 859.68 = 343.18 : x
  2. Step 2: Convert to fraction form
    622.98/859.68 = 343.18/x
  3. Step 3: Cross multiply
    622.98x = 859.68 × 343.18
  4. Step 4: Simplify right side
    622.98x = 295,024.98
  5. Step 5: Solve for x
    x = 295,024.98/622.98
  6. Step 6: Final answer
    x = 473.57

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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.