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Finding the Fourth Proportional to 330.08, 454.56 and 299.12

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Solution

The fourth proportional to 330.08, 454.56 and 299.12 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.08 : 454.56 = 299.12 : x
  2. Step 2: Convert to fraction form
    330.08/454.56 = 299.12/x
  3. Step 3: Cross multiply
    330.08x = 454.56 × 299.12
  4. Step 4: Simplify right side
    330.08x = 135,967.99
  5. Step 5: Solve for x
    x = 135,967.99/330.08
  6. Step 6: Final answer
    x = 411.92

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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.