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Finding the Fourth Proportional to 475.69, 713.27 and 244.49

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Solution

The fourth proportional to 475.69, 713.27 and 244.49 is: 366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.69 : 713.27 = 244.49 : x
  2. Step 2: Convert to fraction form
    475.69/713.27 = 244.49/x
  3. Step 3: Cross multiply
    475.69x = 713.27 × 244.49
  4. Step 4: Simplify right side
    475.69x = 174,384.43
  5. Step 5: Solve for x
    x = 174,384.43/475.69
  6. Step 6: Final answer
    x = 366.59

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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.