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Finding the Fourth Proportional to 622.18, 857.58 and 517.06

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Solution

The fourth proportional to 622.18, 857.58 and 517.06 is: 712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 857.58 = 517.06 : x
  2. Step 2: Convert to fraction form
    622.18/857.58 = 517.06/x
  3. Step 3: Cross multiply
    622.18x = 857.58 × 517.06
  4. Step 4: Simplify right side
    622.18x = 443,416.03
  5. Step 5: Solve for x
    x = 443,416.03/622.18
  6. Step 6: Final answer
    x = 712.69

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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.