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Finding the Fourth Proportional to 470.91, 706.42 and 196.93

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Solution

The fourth proportional to 470.91, 706.42 and 196.93 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 706.42 = 196.93 : x
  2. Step 2: Convert to fraction form
    470.91/706.42 = 196.93/x
  3. Step 3: Cross multiply
    470.91x = 706.42 × 196.93
  4. Step 4: Simplify right side
    470.91x = 139,116.42
  5. Step 5: Solve for x
    x = 139,116.42/470.91
  6. Step 6: Final answer
    x = 295.42

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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.