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Finding the Fourth Proportional to 438.18, 657.31 and 194.57

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Solution

The fourth proportional to 438.18, 657.31 and 194.57 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.18 : 657.31 = 194.57 : x
  2. Step 2: Convert to fraction form
    438.18/657.31 = 194.57/x
  3. Step 3: Cross multiply
    438.18x = 657.31 × 194.57
  4. Step 4: Simplify right side
    438.18x = 127,892.81
  5. Step 5: Solve for x
    x = 127,892.81/438.18
  6. Step 6: Final answer
    x = 291.87

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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.