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Finding the Fourth Proportional to 466.22, 642.74 and 451.86

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Solution

The fourth proportional to 466.22, 642.74 and 451.86 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 642.74 = 451.86 : x
  2. Step 2: Convert to fraction form
    466.22/642.74 = 451.86/x
  3. Step 3: Cross multiply
    466.22x = 642.74 × 451.86
  4. Step 4: Simplify right side
    466.22x = 290,426.24
  5. Step 5: Solve for x
    x = 290,426.24/466.22
  6. Step 6: Final answer
    x = 622.94

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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.