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Finding the Fourth Proportional to 622, 858.22 and 456.24

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Solution

The fourth proportional to 622, 858.22 and 456.24 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622 : 858.22 = 456.24 : x
  2. Step 2: Convert to fraction form
    622/858.22 = 456.24/x
  3. Step 3: Cross multiply
    622x = 858.22 × 456.24
  4. Step 4: Simplify right side
    622x = 391,554.29
  5. Step 5: Solve for x
    x = 391,554.29/622
  6. Step 6: Final answer
    x = 629.51

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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.