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Finding the Fourth Proportional to 472.82, 709.37 and 229.36

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Solution

The fourth proportional to 472.82, 709.37 and 229.36 is: 344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.82 : 709.37 = 229.36 : x
  2. Step 2: Convert to fraction form
    472.82/709.37 = 229.36/x
  3. Step 3: Cross multiply
    472.82x = 709.37 × 229.36
  4. Step 4: Simplify right side
    472.82x = 162,701.10
  5. Step 5: Solve for x
    x = 162,701.10/472.82
  6. Step 6: Final answer
    x = 344.11

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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.