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Finding the Fourth Proportional to 621.70, 857.45 and 397.53

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Solution

The fourth proportional to 621.70, 857.45 and 397.53 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.70 : 857.45 = 397.53 : x
  2. Step 2: Convert to fraction form
    621.70/857.45 = 397.53/x
  3. Step 3: Cross multiply
    621.70x = 857.45 × 397.53
  4. Step 4: Simplify right side
    621.70x = 340,863.09
  5. Step 5: Solve for x
    x = 340,863.09/621.70
  6. Step 6: Final answer
    x = 548.28

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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.