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Finding the Fourth Proportional to 430.06, 645.09 and 308.56

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Solution

The fourth proportional to 430.06, 645.09 and 308.56 is: 462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.06 : 645.09 = 308.56 : x
  2. Step 2: Convert to fraction form
    430.06/645.09 = 308.56/x
  3. Step 3: Cross multiply
    430.06x = 645.09 × 308.56
  4. Step 4: Simplify right side
    430.06x = 199,048.97
  5. Step 5: Solve for x
    x = 199,048.97/430.06
  6. Step 6: Final answer
    x = 462.84

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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.