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Finding the Fourth Proportional to 470.39, 705.56 and 196.34

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Solution

The fourth proportional to 470.39, 705.56 and 196.34 is: 294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 705.56 = 196.34 : x
  2. Step 2: Convert to fraction form
    470.39/705.56 = 196.34/x
  3. Step 3: Cross multiply
    470.39x = 705.56 × 196.34
  4. Step 4: Simplify right side
    470.39x = 138,525.14
  5. Step 5: Solve for x
    x = 138,525.14/470.39
  6. Step 6: Final answer
    x = 294.49

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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.