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Finding the Fourth Proportional to 474.89, 711.82 and 269.41

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Solution

The fourth proportional to 474.89, 711.82 and 269.41 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 711.82 = 269.41 : x
  2. Step 2: Convert to fraction form
    474.89/711.82 = 269.41/x
  3. Step 3: Cross multiply
    474.89x = 711.82 × 269.41
  4. Step 4: Simplify right side
    474.89x = 191,771.43
  5. Step 5: Solve for x
    x = 191,771.43/474.89
  6. Step 6: Final answer
    x = 403.82

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Why These Related Problems?

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