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Finding the Fourth Proportional to 472.19, 707.83 and 212.04

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Solution

The fourth proportional to 472.19, 707.83 and 212.04 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.19 : 707.83 = 212.04 : x
  2. Step 2: Convert to fraction form
    472.19/707.83 = 212.04/x
  3. Step 3: Cross multiply
    472.19x = 707.83 × 212.04
  4. Step 4: Simplify right side
    472.19x = 150,087.74
  5. Step 5: Solve for x
    x = 150,087.74/472.19
  6. Step 6: Final answer
    x = 317.86

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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.