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Finding the Fourth Proportional to 431.28, 646.02 and 276.78

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Solution

The fourth proportional to 431.28, 646.02 and 276.78 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.28 : 646.02 = 276.78 : x
  2. Step 2: Convert to fraction form
    431.28/646.02 = 276.78/x
  3. Step 3: Cross multiply
    431.28x = 646.02 × 276.78
  4. Step 4: Simplify right side
    431.28x = 178,805.42
  5. Step 5: Solve for x
    x = 178,805.42/431.28
  6. Step 6: Final answer
    x = 414.59

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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.