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Finding the Fourth Proportional to 361.32, 498.55 and 213.93

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Solution

The fourth proportional to 361.32, 498.55 and 213.93 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.32 : 498.55 = 213.93 : x
  2. Step 2: Convert to fraction form
    361.32/498.55 = 213.93/x
  3. Step 3: Cross multiply
    361.32x = 498.55 × 213.93
  4. Step 4: Simplify right side
    361.32x = 106,654.80
  5. Step 5: Solve for x
    x = 106,654.80/361.32
  6. Step 6: Final answer
    x = 295.18

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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.