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Finding the Fourth Proportional to 470.81, 706.21 and 214.13

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Solution

The fourth proportional to 470.81, 706.21 and 214.13 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 706.21 = 214.13 : x
  2. Step 2: Convert to fraction form
    470.81/706.21 = 214.13/x
  3. Step 3: Cross multiply
    470.81x = 706.21 × 214.13
  4. Step 4: Simplify right side
    470.81x = 151,216.68
  5. Step 5: Solve for x
    x = 151,216.68/470.81
  6. Step 6: Final answer
    x = 321.19

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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.