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Finding the Fourth Proportional to 333.16, 457.14 and 329.92

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Solution

The fourth proportional to 333.16, 457.14 and 329.92 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.16 : 457.14 = 329.92 : x
  2. Step 2: Convert to fraction form
    333.16/457.14 = 329.92/x
  3. Step 3: Cross multiply
    333.16x = 457.14 × 329.92
  4. Step 4: Simplify right side
    333.16x = 150,819.63
  5. Step 5: Solve for x
    x = 150,819.63/333.16
  6. Step 6: Final answer
    x = 452.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.