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Finding the Fourth Proportional to 470.91, 706.41 and 146.28

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Solution

The fourth proportional to 470.91, 706.41 and 146.28 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 706.41 = 146.28 : x
  2. Step 2: Convert to fraction form
    470.91/706.41 = 146.28/x
  3. Step 3: Cross multiply
    470.91x = 706.41 × 146.28
  4. Step 4: Simplify right side
    470.91x = 103,333.65
  5. Step 5: Solve for x
    x = 103,333.65/470.91
  6. Step 6: Final answer
    x = 219.43

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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.