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Finding the Fourth Proportional to 621.16, 857.22 and 341.43

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Solution

The fourth proportional to 621.16, 857.22 and 341.43 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.16 : 857.22 = 341.43 : x
  2. Step 2: Convert to fraction form
    621.16/857.22 = 341.43/x
  3. Step 3: Cross multiply
    621.16x = 857.22 × 341.43
  4. Step 4: Simplify right side
    621.16x = 292,680.62
  5. Step 5: Solve for x
    x = 292,680.62/621.16
  6. Step 6: Final answer
    x = 471.19

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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.