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Finding the Fourth Proportional to 622.85, 857.25 and 456.80

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Solution

The fourth proportional to 622.85, 857.25 and 456.80 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.85 : 857.25 = 456.80 : x
  2. Step 2: Convert to fraction form
    622.85/857.25 = 456.80/x
  3. Step 3: Cross multiply
    622.85x = 857.25 × 456.80
  4. Step 4: Simplify right side
    622.85x = 391,587.51
  5. Step 5: Solve for x
    x = 391,587.51/622.85
  6. Step 6: Final answer
    x = 628.71

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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.