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Finding the Fourth Proportional to 466.22, 642.57 and 341.62

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Solution

The fourth proportional to 466.22, 642.57 and 341.62 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 642.57 = 341.62 : x
  2. Step 2: Convert to fraction form
    466.22/642.57 = 341.62/x
  3. Step 3: Cross multiply
    466.22x = 642.57 × 341.62
  4. Step 4: Simplify right side
    466.22x = 219,511.55
  5. Step 5: Solve for x
    x = 219,511.55/466.22
  6. Step 6: Final answer
    x = 470.83

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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.