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Finding the Fourth Proportional to 437.64, 656.48 and 194.14

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Solution

The fourth proportional to 437.64, 656.48 and 194.14 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.64 : 656.48 = 194.14 : x
  2. Step 2: Convert to fraction form
    437.64/656.48 = 194.14/x
  3. Step 3: Cross multiply
    437.64x = 656.48 × 194.14
  4. Step 4: Simplify right side
    437.64x = 127,449.03
  5. Step 5: Solve for x
    x = 127,449.03/437.64
  6. Step 6: Final answer
    x = 291.22

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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.