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Finding the Fourth Proportional to 430.36, 645.92 and 214.12

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Solution

The fourth proportional to 430.36, 645.92 and 214.12 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.36 : 645.92 = 214.12 : x
  2. Step 2: Convert to fraction form
    430.36/645.92 = 214.12/x
  3. Step 3: Cross multiply
    430.36x = 645.92 × 214.12
  4. Step 4: Simplify right side
    430.36x = 138,304.39
  5. Step 5: Solve for x
    x = 138,304.39/430.36
  6. Step 6: Final answer
    x = 321.37

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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.