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Finding the Fourth Proportional to 470.65, 706.07 and 239.35

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Solution

The fourth proportional to 470.65, 706.07 and 239.35 is: 359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.65 : 706.07 = 239.35 : x
  2. Step 2: Convert to fraction form
    470.65/706.07 = 239.35/x
  3. Step 3: Cross multiply
    470.65x = 706.07 × 239.35
  4. Step 4: Simplify right side
    470.65x = 168,997.85
  5. Step 5: Solve for x
    x = 168,997.85/470.65
  6. Step 6: Final answer
    x = 359.07

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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.