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Finding the Fourth Proportional to 621.96, 859.86 and 466.44

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Solution

The fourth proportional to 621.96, 859.86 and 466.44 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.96 : 859.86 = 466.44 : x
  2. Step 2: Convert to fraction form
    621.96/859.86 = 466.44/x
  3. Step 3: Cross multiply
    621.96x = 859.86 × 466.44
  4. Step 4: Simplify right side
    621.96x = 401,073.10
  5. Step 5: Solve for x
    x = 401,073.10/621.96
  6. Step 6: Final answer
    x = 644.85

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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.