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Finding the Fourth Proportional to 470.61, 706.09 and 196.63

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Solution

The fourth proportional to 470.61, 706.09 and 196.63 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.61 : 706.09 = 196.63 : x
  2. Step 2: Convert to fraction form
    470.61/706.09 = 196.63/x
  3. Step 3: Cross multiply
    470.61x = 706.09 × 196.63
  4. Step 4: Simplify right side
    470.61x = 138,838.48
  5. Step 5: Solve for x
    x = 138,838.48/470.61
  6. Step 6: Final answer
    x = 295.02

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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.