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Finding the Fourth Proportional to 621.72, 857.88 and 412.34

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Solution

The fourth proportional to 621.72, 857.88 and 412.34 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.72 : 857.88 = 412.34 : x
  2. Step 2: Convert to fraction form
    621.72/857.88 = 412.34/x
  3. Step 3: Cross multiply
    621.72x = 857.88 × 412.34
  4. Step 4: Simplify right side
    621.72x = 353,738.24
  5. Step 5: Solve for x
    x = 353,738.24/621.72
  6. Step 6: Final answer
    x = 568.97

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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.