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Finding the Fourth Proportional to 621.12, 857.16 and 456.24

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Solution

The fourth proportional to 621.12, 857.16 and 456.24 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.12 : 857.16 = 456.24 : x
  2. Step 2: Convert to fraction form
    621.12/857.16 = 456.24/x
  3. Step 3: Cross multiply
    621.12x = 857.16 × 456.24
  4. Step 4: Simplify right side
    621.12x = 391,070.68
  5. Step 5: Solve for x
    x = 391,070.68/621.12
  6. Step 6: Final answer
    x = 629.62

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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.