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Finding the Fourth Proportional to 334.32, 494.43 and 334.32

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Solution

The fourth proportional to 334.32, 494.43 and 334.32 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 494.43 = 334.32 : x
  2. Step 2: Convert to fraction form
    334.32/494.43 = 334.32/x
  3. Step 3: Cross multiply
    334.32x = 494.43 × 334.32
  4. Step 4: Simplify right side
    334.32x = 165,297.84
  5. Step 5: Solve for x
    x = 165,297.84/334.32
  6. Step 6: Final answer
    x = 494.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.