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Finding the Fourth Proportional to 431.44, 646.58 and 236.15

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Solution

The fourth proportional to 431.44, 646.58 and 236.15 is: 353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 646.58 = 236.15 : x
  2. Step 2: Convert to fraction form
    431.44/646.58 = 236.15/x
  3. Step 3: Cross multiply
    431.44x = 646.58 × 236.15
  4. Step 4: Simplify right side
    431.44x = 152,687.74
  5. Step 5: Solve for x
    x = 152,687.74/431.44
  6. Step 6: Final answer
    x = 353.90

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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.