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Finding the Fourth Proportional to 622.69, 859.31 and 357.11

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Solution

The fourth proportional to 622.69, 859.31 and 357.11 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.69 : 859.31 = 357.11 : x
  2. Step 2: Convert to fraction form
    622.69/859.31 = 357.11/x
  3. Step 3: Cross multiply
    622.69x = 859.31 × 357.11
  4. Step 4: Simplify right side
    622.69x = 306,866.67
  5. Step 5: Solve for x
    x = 306,866.67/622.69
  6. Step 6: Final answer
    x = 492.81

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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.