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Finding the Fourth Proportional to 622.37, 857.49 and 412.17

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Solution

The fourth proportional to 622.37, 857.49 and 412.17 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.37 : 857.49 = 412.17 : x
  2. Step 2: Convert to fraction form
    622.37/857.49 = 412.17/x
  3. Step 3: Cross multiply
    622.37x = 857.49 × 412.17
  4. Step 4: Simplify right side
    622.37x = 353,431.65
  5. Step 5: Solve for x
    x = 353,431.65/622.37
  6. Step 6: Final answer
    x = 567.88

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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.