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Finding the Fourth Proportional to 460.32, 689.92 and 329.64

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Solution

The fourth proportional to 460.32, 689.92 and 329.64 is: 494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 689.92 = 329.64 : x
  2. Step 2: Convert to fraction form
    460.32/689.92 = 329.64/x
  3. Step 3: Cross multiply
    460.32x = 689.92 × 329.64
  4. Step 4: Simplify right side
    460.32x = 227,425.23
  5. Step 5: Solve for x
    x = 227,425.23/460.32
  6. Step 6: Final answer
    x = 494.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.