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Finding the Fourth Proportional to 622.82, 859.68 and 498.44

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Solution

The fourth proportional to 622.82, 859.68 and 498.44 is: 688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 859.68 = 498.44 : x
  2. Step 2: Convert to fraction form
    622.82/859.68 = 498.44/x
  3. Step 3: Cross multiply
    622.82x = 859.68 × 498.44
  4. Step 4: Simplify right side
    622.82x = 428,498.90
  5. Step 5: Solve for x
    x = 428,498.90/622.82
  6. Step 6: Final answer
    x = 688.00

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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.