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Finding the Fourth Proportional to 438.11, 657.32 and 207.18

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Solution

The fourth proportional to 438.11, 657.32 and 207.18 is: 310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 657.32 = 207.18 : x
  2. Step 2: Convert to fraction form
    438.11/657.32 = 207.18/x
  3. Step 3: Cross multiply
    438.11x = 657.32 × 207.18
  4. Step 4: Simplify right side
    438.11x = 136,183.56
  5. Step 5: Solve for x
    x = 136,183.56/438.11
  6. Step 6: Final answer
    x = 310.84

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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.