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Finding the Fourth Proportional to 621.23, 857.23 and 341.42

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Solution

The fourth proportional to 621.23, 857.23 and 341.42 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.23 : 857.23 = 341.42 : x
  2. Step 2: Convert to fraction form
    621.23/857.23 = 341.42/x
  3. Step 3: Cross multiply
    621.23x = 857.23 × 341.42
  4. Step 4: Simplify right side
    621.23x = 292,670.33
  5. Step 5: Solve for x
    x = 292,670.33/621.23
  6. Step 6: Final answer
    x = 471.12

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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.