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Finding the Fourth Proportional to 549.32, 757.14 and 438.44

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Solution

The fourth proportional to 549.32, 757.14 and 438.44 is: 604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 757.14 = 438.44 : x
  2. Step 2: Convert to fraction form
    549.32/757.14 = 438.44/x
  3. Step 3: Cross multiply
    549.32x = 757.14 × 438.44
  4. Step 4: Simplify right side
    549.32x = 331,960.46
  5. Step 5: Solve for x
    x = 331,960.46/549.32
  6. Step 6: Final answer
    x = 604.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.