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Finding the Fourth Proportional to 472.05, 707.99 and 142.98

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Solution

The fourth proportional to 472.05, 707.99 and 142.98 is: 214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.05 : 707.99 = 142.98 : x
  2. Step 2: Convert to fraction form
    472.05/707.99 = 142.98/x
  3. Step 3: Cross multiply
    472.05x = 707.99 × 142.98
  4. Step 4: Simplify right side
    472.05x = 101,227.70
  5. Step 5: Solve for x
    x = 101,227.70/472.05
  6. Step 6: Final answer
    x = 214.44

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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.