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Finding the Fourth Proportional to 430.92, 646.39 and 142.38

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Solution

The fourth proportional to 430.92, 646.39 and 142.38 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 646.39 = 142.38 : x
  2. Step 2: Convert to fraction form
    430.92/646.39 = 142.38/x
  3. Step 3: Cross multiply
    430.92x = 646.39 × 142.38
  4. Step 4: Simplify right side
    430.92x = 92,033.01
  5. Step 5: Solve for x
    x = 92,033.01/430.92
  6. Step 6: Final answer
    x = 213.57

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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.