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Finding the Fourth Proportional to 430.09, 645.44 and 186.78

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Solution

The fourth proportional to 430.09, 645.44 and 186.78 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.09 : 645.44 = 186.78 : x
  2. Step 2: Convert to fraction form
    430.09/645.44 = 186.78/x
  3. Step 3: Cross multiply
    430.09x = 645.44 × 186.78
  4. Step 4: Simplify right side
    430.09x = 120,556.77
  5. Step 5: Solve for x
    x = 120,556.77/430.09
  6. Step 6: Final answer
    x = 280.31

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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.