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Finding the Fourth Proportional to 622.08, 857.99 and 456.64

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Solution

The fourth proportional to 622.08, 857.99 and 456.64 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 857.99 = 456.64 : x
  2. Step 2: Convert to fraction form
    622.08/857.99 = 456.64/x
  3. Step 3: Cross multiply
    622.08x = 857.99 × 456.64
  4. Step 4: Simplify right side
    622.08x = 391,791.55
  5. Step 5: Solve for x
    x = 391,791.55/622.08
  6. Step 6: Final answer
    x = 629.81

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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.