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Finding the Fourth Proportional to 430.29, 645.42 and 156.38

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Solution

The fourth proportional to 430.29, 645.42 and 156.38 is: 234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.29 : 645.42 = 156.38 : x
  2. Step 2: Convert to fraction form
    430.29/645.42 = 156.38/x
  3. Step 3: Cross multiply
    430.29x = 645.42 × 156.38
  4. Step 4: Simplify right side
    430.29x = 100,930.78
  5. Step 5: Solve for x
    x = 100,930.78/430.29
  6. Step 6: Final answer
    x = 234.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.