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Finding the Fourth Proportional to 622.17, 858.20 and 456.39

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Solution

The fourth proportional to 622.17, 858.20 and 456.39 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.17 : 858.20 = 456.39 : x
  2. Step 2: Convert to fraction form
    622.17/858.20 = 456.39/x
  3. Step 3: Cross multiply
    622.17x = 858.20 × 456.39
  4. Step 4: Simplify right side
    622.17x = 391,671.62
  5. Step 5: Solve for x
    x = 391,671.62/622.17
  6. Step 6: Final answer
    x = 629.53

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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.