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Finding the Fourth Proportional to 472.49, 708.49 and 164.24

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Solution

The fourth proportional to 472.49, 708.49 and 164.24 is: 246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.49 : 708.49 = 164.24 : x
  2. Step 2: Convert to fraction form
    472.49/708.49 = 164.24/x
  3. Step 3: Cross multiply
    472.49x = 708.49 × 164.24
  4. Step 4: Simplify right side
    472.49x = 116,362.40
  5. Step 5: Solve for x
    x = 116,362.40/472.49
  6. Step 6: Final answer
    x = 246.27

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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.