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Finding the Fourth Proportional to 466.68, 642.60 and 335.46

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Solution

The fourth proportional to 466.68, 642.60 and 335.46 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 642.60 = 335.46 : x
  2. Step 2: Convert to fraction form
    466.68/642.60 = 335.46/x
  3. Step 3: Cross multiply
    466.68x = 642.60 × 335.46
  4. Step 4: Simplify right side
    466.68x = 215,566.60
  5. Step 5: Solve for x
    x = 215,566.60/466.68
  6. Step 6: Final answer
    x = 461.92

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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.