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Finding the Fourth Proportional to 470.53, 705.82 and 196.35

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Solution

The fourth proportional to 470.53, 705.82 and 196.35 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 705.82 = 196.35 : x
  2. Step 2: Convert to fraction form
    470.53/705.82 = 196.35/x
  3. Step 3: Cross multiply
    470.53x = 705.82 × 196.35
  4. Step 4: Simplify right side
    470.53x = 138,585.36
  5. Step 5: Solve for x
    x = 138,585.36/470.53
  6. Step 6: Final answer
    x = 294.53

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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.