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Finding the Fourth Proportional to 622.07, 858.45 and 342.26

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Solution

The fourth proportional to 622.07, 858.45 and 342.26 is: 472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.07 : 858.45 = 342.26 : x
  2. Step 2: Convert to fraction form
    622.07/858.45 = 342.26/x
  3. Step 3: Cross multiply
    622.07x = 858.45 × 342.26
  4. Step 4: Simplify right side
    622.07x = 293,813.10
  5. Step 5: Solve for x
    x = 293,813.10/622.07
  6. Step 6: Final answer
    x = 472.32

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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.