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Finding the Fourth Proportional to 621.96, 858.12 and 409.32

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Solution

The fourth proportional to 621.96, 858.12 and 409.32 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.96 : 858.12 = 409.32 : x
  2. Step 2: Convert to fraction form
    621.96/858.12 = 409.32/x
  3. Step 3: Cross multiply
    621.96x = 858.12 × 409.32
  4. Step 4: Simplify right side
    621.96x = 351,245.68
  5. Step 5: Solve for x
    x = 351,245.68/621.96
  6. Step 6: Final answer
    x = 564.74

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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.