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Finding the Fourth Proportional to 622.75, 859.11 and 401.77

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Solution

The fourth proportional to 622.75, 859.11 and 401.77 is: 554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.75 : 859.11 = 401.77 : x
  2. Step 2: Convert to fraction form
    622.75/859.11 = 401.77/x
  3. Step 3: Cross multiply
    622.75x = 859.11 × 401.77
  4. Step 4: Simplify right side
    622.75x = 345,162.62
  5. Step 5: Solve for x
    x = 345,162.62/622.75
  6. Step 6: Final answer
    x = 554.26

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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.