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Finding the Fourth Proportional to 431.34, 646.41 and 236.19

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Solution

The fourth proportional to 431.34, 646.41 and 236.19 is: 353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 646.41 = 236.19 : x
  2. Step 2: Convert to fraction form
    431.34/646.41 = 236.19/x
  3. Step 3: Cross multiply
    431.34x = 646.41 × 236.19
  4. Step 4: Simplify right side
    431.34x = 152,675.58
  5. Step 5: Solve for x
    x = 152,675.58/431.34
  6. Step 6: Final answer
    x = 353.96

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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.