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Finding the Fourth Proportional to 470.57, 705.41 and 196.91

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Solution

The fourth proportional to 470.57, 705.41 and 196.91 is: 295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 705.41 = 196.91 : x
  2. Step 2: Convert to fraction form
    470.57/705.41 = 196.91/x
  3. Step 3: Cross multiply
    470.57x = 705.41 × 196.91
  4. Step 4: Simplify right side
    470.57x = 138,897.77
  5. Step 5: Solve for x
    x = 138,897.77/470.57
  6. Step 6: Final answer
    x = 295.17

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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.