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Finding the Fourth Proportional to 466.40, 642.25 and 335.18

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Solution

The fourth proportional to 466.40, 642.25 and 335.18 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.40 : 642.25 = 335.18 : x
  2. Step 2: Convert to fraction form
    466.40/642.25 = 335.18/x
  3. Step 3: Cross multiply
    466.40x = 642.25 × 335.18
  4. Step 4: Simplify right side
    466.40x = 215,269.36
  5. Step 5: Solve for x
    x = 215,269.36/466.40
  6. Step 6: Final answer
    x = 461.56

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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.