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Finding the Fourth Proportional to 622.25, 858.72 and 342.49

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Solution

The fourth proportional to 622.25, 858.72 and 342.49 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 858.72 = 342.49 : x
  2. Step 2: Convert to fraction form
    622.25/858.72 = 342.49/x
  3. Step 3: Cross multiply
    622.25x = 858.72 × 342.49
  4. Step 4: Simplify right side
    622.25x = 294,103.01
  5. Step 5: Solve for x
    x = 294,103.01/622.25
  6. Step 6: Final answer
    x = 472.64

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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.