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Finding the Fourth Proportional to 430.12, 645.24 and 213.64

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Solution

The fourth proportional to 430.12, 645.24 and 213.64 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 645.24 = 213.64 : x
  2. Step 2: Convert to fraction form
    430.12/645.24 = 213.64/x
  3. Step 3: Cross multiply
    430.12x = 645.24 × 213.64
  4. Step 4: Simplify right side
    430.12x = 137,849.07
  5. Step 5: Solve for x
    x = 137,849.07/430.12
  6. Step 6: Final answer
    x = 320.49

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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.