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Finding the Fourth Proportional to 430.38, 645.61 and 122.24

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Solution

The fourth proportional to 430.38, 645.61 and 122.24 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 645.61 = 122.24 : x
  2. Step 2: Convert to fraction form
    430.38/645.61 = 122.24/x
  3. Step 3: Cross multiply
    430.38x = 645.61 × 122.24
  4. Step 4: Simplify right side
    430.38x = 78,919.37
  5. Step 5: Solve for x
    x = 78,919.37/430.38
  6. Step 6: Final answer
    x = 183.37

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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.