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Finding the Fourth Proportional to 474.14, 710.71 and 199.85

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Solution

The fourth proportional to 474.14, 710.71 and 199.85 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 710.71 = 199.85 : x
  2. Step 2: Convert to fraction form
    474.14/710.71 = 199.85/x
  3. Step 3: Cross multiply
    474.14x = 710.71 × 199.85
  4. Step 4: Simplify right side
    474.14x = 142,035.39
  5. Step 5: Solve for x
    x = 142,035.39/474.14
  6. Step 6: Final answer
    x = 299.56

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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.