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Finding the Fourth Proportional to 320.12, 476.96 and 299.16

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Solution

The fourth proportional to 320.12, 476.96 and 299.16 is: 445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.12 : 476.96 = 299.16 : x
  2. Step 2: Convert to fraction form
    320.12/476.96 = 299.16/x
  3. Step 3: Cross multiply
    320.12x = 476.96 × 299.16
  4. Step 4: Simplify right side
    320.12x = 142,685.86
  5. Step 5: Solve for x
    x = 142,685.86/320.12
  6. Step 6: Final answer
    x = 445.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.