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Finding the Fourth Proportional to 466.92, 645.24 and 335.64

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Solution

The fourth proportional to 466.92, 645.24 and 335.64 is: 463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.92 : 645.24 = 335.64 : x
  2. Step 2: Convert to fraction form
    466.92/645.24 = 335.64/x
  3. Step 3: Cross multiply
    466.92x = 645.24 × 335.64
  4. Step 4: Simplify right side
    466.92x = 216,568.35
  5. Step 5: Solve for x
    x = 216,568.35/466.92
  6. Step 6: Final answer
    x = 463.82

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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.