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Finding the Fourth Proportional to 622.06, 858.42 and 342.24

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Solution

The fourth proportional to 622.06, 858.42 and 342.24 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.06 : 858.42 = 342.24 : x
  2. Step 2: Convert to fraction form
    622.06/858.42 = 342.24/x
  3. Step 3: Cross multiply
    622.06x = 858.42 × 342.24
  4. Step 4: Simplify right side
    622.06x = 293,785.66
  5. Step 5: Solve for x
    x = 293,785.66/622.06
  6. Step 6: Final answer
    x = 472.28

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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.