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Finding the Fourth Proportional to 431.68, 646.36 and 301.41

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Solution

The fourth proportional to 431.68, 646.36 and 301.41 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 646.36 = 301.41 : x
  2. Step 2: Convert to fraction form
    431.68/646.36 = 301.41/x
  3. Step 3: Cross multiply
    431.68x = 646.36 × 301.41
  4. Step 4: Simplify right side
    431.68x = 194,819.37
  5. Step 5: Solve for x
    x = 194,819.37/431.68
  6. Step 6: Final answer
    x = 451.31

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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.