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Finding the Fourth Proportional to 318.69, 476.73 and 269.63

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Solution

The fourth proportional to 318.69, 476.73 and 269.63 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.69 : 476.73 = 269.63 : x
  2. Step 2: Convert to fraction form
    318.69/476.73 = 269.63/x
  3. Step 3: Cross multiply
    318.69x = 476.73 × 269.63
  4. Step 4: Simplify right side
    318.69x = 128,540.71
  5. Step 5: Solve for x
    x = 128,540.71/318.69
  6. Step 6: Final answer
    x = 403.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.