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Finding the Fourth Proportional to 320.32, 443.08 and 299.72

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Solution

The fourth proportional to 320.32, 443.08 and 299.72 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 443.08 = 299.72 : x
  2. Step 2: Convert to fraction form
    320.32/443.08 = 299.72/x
  3. Step 3: Cross multiply
    320.32x = 443.08 × 299.72
  4. Step 4: Simplify right side
    320.32x = 132,799.94
  5. Step 5: Solve for x
    x = 132,799.94/320.32
  6. Step 6: Final answer
    x = 414.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.