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Finding the Fourth Proportional to 472.63, 708.96 and 180.27

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Solution

The fourth proportional to 472.63, 708.96 and 180.27 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.63 : 708.96 = 180.27 : x
  2. Step 2: Convert to fraction form
    472.63/708.96 = 180.27/x
  3. Step 3: Cross multiply
    472.63x = 708.96 × 180.27
  4. Step 4: Simplify right side
    472.63x = 127,802.63
  5. Step 5: Solve for x
    x = 127,802.63/472.63
  6. Step 6: Final answer
    x = 270.41

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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.