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Finding the Fourth Proportional to 470.82, 706.29 and 196.89

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Solution

The fourth proportional to 470.82, 706.29 and 196.89 is: 295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 706.29 = 196.89 : x
  2. Step 2: Convert to fraction form
    470.82/706.29 = 196.89/x
  3. Step 3: Cross multiply
    470.82x = 706.29 × 196.89
  4. Step 4: Simplify right side
    470.82x = 139,061.44
  5. Step 5: Solve for x
    x = 139,061.44/470.82
  6. Step 6: Final answer
    x = 295.36

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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.