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Finding the Fourth Proportional to 361.98, 499.64 and 237.74

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Solution

The fourth proportional to 361.98, 499.64 and 237.74 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 499.64 = 237.74 : x
  2. Step 2: Convert to fraction form
    361.98/499.64 = 237.74/x
  3. Step 3: Cross multiply
    361.98x = 499.64 × 237.74
  4. Step 4: Simplify right side
    361.98x = 118,780.73
  5. Step 5: Solve for x
    x = 118,780.73/361.98
  6. Step 6: Final answer
    x = 328.14

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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.