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Finding the Fourth Proportional to 638.09, 956.43 and 291.33

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Solution

The fourth proportional to 638.09, 956.43 and 291.33 is: 436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.09 : 956.43 = 291.33 : x
  2. Step 2: Convert to fraction form
    638.09/956.43 = 291.33/x
  3. Step 3: Cross multiply
    638.09x = 956.43 × 291.33
  4. Step 4: Simplify right side
    638.09x = 278,636.75
  5. Step 5: Solve for x
    x = 278,636.75/638.09
  6. Step 6: Final answer
    x = 436.68

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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.