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Finding the Fourth Proportional to 546.21, 818.71 and 238.32

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Solution

The fourth proportional to 546.21, 818.71 and 238.32 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.21 : 818.71 = 238.32 : x
  2. Step 2: Convert to fraction form
    546.21/818.71 = 238.32/x
  3. Step 3: Cross multiply
    546.21x = 818.71 × 238.32
  4. Step 4: Simplify right side
    546.21x = 195,113.78
  5. Step 5: Solve for x
    x = 195,113.78/546.21
  6. Step 6: Final answer
    x = 357.21

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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.