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Finding the Fourth Proportional to 470.64, 705.42 and 196.50

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Solution

The fourth proportional to 470.64, 705.42 and 196.50 is: 294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 705.42 = 196.50 : x
  2. Step 2: Convert to fraction form
    470.64/705.42 = 196.50/x
  3. Step 3: Cross multiply
    470.64x = 705.42 × 196.50
  4. Step 4: Simplify right side
    470.64x = 138,615.03
  5. Step 5: Solve for x
    x = 138,615.03/470.64
  6. Step 6: Final answer
    x = 294.52

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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.