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Finding the Fourth Proportional to 470.63, 705.46 and 196.88

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Solution

The fourth proportional to 470.63, 705.46 and 196.88 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.63 : 705.46 = 196.88 : x
  2. Step 2: Convert to fraction form
    470.63/705.46 = 196.88/x
  3. Step 3: Cross multiply
    470.63x = 705.46 × 196.88
  4. Step 4: Simplify right side
    470.63x = 138,886.45
  5. Step 5: Solve for x
    x = 138,886.45/470.63
  6. Step 6: Final answer
    x = 295.11

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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.