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Finding the Fourth Proportional to 622.84, 859.26 and 491.32

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Solution

The fourth proportional to 622.84, 859.26 and 491.32 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.84 : 859.26 = 491.32 : x
  2. Step 2: Convert to fraction form
    622.84/859.26 = 491.32/x
  3. Step 3: Cross multiply
    622.84x = 859.26 × 491.32
  4. Step 4: Simplify right side
    622.84x = 422,171.62
  5. Step 5: Solve for x
    x = 422,171.62/622.84
  6. Step 6: Final answer
    x = 677.82

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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.