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Finding the Fourth Proportional to 472.42, 709.04 and 212.82

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Solution

The fourth proportional to 472.42, 709.04 and 212.82 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.42 : 709.04 = 212.82 : x
  2. Step 2: Convert to fraction form
    472.42/709.04 = 212.82/x
  3. Step 3: Cross multiply
    472.42x = 709.04 × 212.82
  4. Step 4: Simplify right side
    472.42x = 150,897.89
  5. Step 5: Solve for x
    x = 150,897.89/472.42
  6. Step 6: Final answer
    x = 319.41

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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.