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Finding the Fourth Proportional to 470.78, 706.17 and 289.29

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Solution

The fourth proportional to 470.78, 706.17 and 289.29 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 706.17 = 289.29 : x
  2. Step 2: Convert to fraction form
    470.78/706.17 = 289.29/x
  3. Step 3: Cross multiply
    470.78x = 706.17 × 289.29
  4. Step 4: Simplify right side
    470.78x = 204,287.92
  5. Step 5: Solve for x
    x = 204,287.92/470.78
  6. Step 6: Final answer
    x = 433.94

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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.