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Finding the Fourth Proportional to 315.22, 470.72 and 299.42

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Solution

The fourth proportional to 315.22, 470.72 and 299.42 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 470.72 = 299.42 : x
  2. Step 2: Convert to fraction form
    315.22/470.72 = 299.42/x
  3. Step 3: Cross multiply
    315.22x = 470.72 × 299.42
  4. Step 4: Simplify right side
    315.22x = 140,942.98
  5. Step 5: Solve for x
    x = 140,942.98/315.22
  6. Step 6: Final answer
    x = 447.13

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