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Finding the Fourth Proportional to 621.46, 857.47 and 522.26

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Solution

The fourth proportional to 621.46, 857.47 and 522.26 is: 720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 857.47 = 522.26 : x
  2. Step 2: Convert to fraction form
    621.46/857.47 = 522.26/x
  3. Step 3: Cross multiply
    621.46x = 857.47 × 522.26
  4. Step 4: Simplify right side
    621.46x = 447,819.30
  5. Step 5: Solve for x
    x = 447,819.30/621.46
  6. Step 6: Final answer
    x = 720.59

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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.