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Finding the Fourth Proportional to 470.68, 706.14 and 214.36

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Solution

The fourth proportional to 470.68, 706.14 and 214.36 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 706.14 = 214.36 : x
  2. Step 2: Convert to fraction form
    470.68/706.14 = 214.36/x
  3. Step 3: Cross multiply
    470.68x = 706.14 × 214.36
  4. Step 4: Simplify right side
    470.68x = 151,368.17
  5. Step 5: Solve for x
    x = 151,368.17/470.68
  6. Step 6: Final answer
    x = 321.59

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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.