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Finding the Fourth Proportional to 437.90, 657.12 and 194.42

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Solution

The fourth proportional to 437.90, 657.12 and 194.42 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 657.12 = 194.42 : x
  2. Step 2: Convert to fraction form
    437.90/657.12 = 194.42/x
  3. Step 3: Cross multiply
    437.90x = 657.12 × 194.42
  4. Step 4: Simplify right side
    437.90x = 127,757.27
  5. Step 5: Solve for x
    x = 127,757.27/437.90
  6. Step 6: Final answer
    x = 291.75

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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.