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Finding the Fourth Proportional to 470.62, 705.81 and 214.06

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Solution

The fourth proportional to 470.62, 705.81 and 214.06 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.62 : 705.81 = 214.06 : x
  2. Step 2: Convert to fraction form
    470.62/705.81 = 214.06/x
  3. Step 3: Cross multiply
    470.62x = 705.81 × 214.06
  4. Step 4: Simplify right side
    470.62x = 151,085.69
  5. Step 5: Solve for x
    x = 151,085.69/470.62
  6. Step 6: Final answer
    x = 321.04

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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.