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Finding the Fourth Proportional to 430.11, 645.18 and 408.24

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Solution

The fourth proportional to 430.11, 645.18 and 408.24 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 645.18 = 408.24 : x
  2. Step 2: Convert to fraction form
    430.11/645.18 = 408.24/x
  3. Step 3: Cross multiply
    430.11x = 645.18 × 408.24
  4. Step 4: Simplify right side
    430.11x = 263,388.28
  5. Step 5: Solve for x
    x = 263,388.28/430.11
  6. Step 6: Final answer
    x = 612.37

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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.