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Finding the Fourth Proportional to 430.24, 645.31 and 122.06

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Solution

The fourth proportional to 430.24, 645.31 and 122.06 is: 183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 645.31 = 122.06 : x
  2. Step 2: Convert to fraction form
    430.24/645.31 = 122.06/x
  3. Step 3: Cross multiply
    430.24x = 645.31 × 122.06
  4. Step 4: Simplify right side
    430.24x = 78,766.54
  5. Step 5: Solve for x
    x = 78,766.54/430.24
  6. Step 6: Final answer
    x = 183.08

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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.