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Finding the Fourth Proportional to 621.17, 857.23 and 341.41

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Solution

The fourth proportional to 621.17, 857.23 and 341.41 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.17 : 857.23 = 341.41 : x
  2. Step 2: Convert to fraction form
    621.17/857.23 = 341.41/x
  3. Step 3: Cross multiply
    621.17x = 857.23 × 341.41
  4. Step 4: Simplify right side
    621.17x = 292,662.61
  5. Step 5: Solve for x
    x = 292,662.61/621.17
  6. Step 6: Final answer
    x = 471.15

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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.