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Finding the Fourth Proportional to 621.92, 857.84 and 456.14

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Solution

The fourth proportional to 621.92, 857.84 and 456.14 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.92 : 857.84 = 456.14 : x
  2. Step 2: Convert to fraction form
    621.92/857.84 = 456.14/x
  3. Step 3: Cross multiply
    621.92x = 857.84 × 456.14
  4. Step 4: Simplify right side
    621.92x = 391,295.14
  5. Step 5: Solve for x
    x = 391,295.14/621.92
  6. Step 6: Final answer
    x = 629.17

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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.