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Finding the Fourth Proportional to 361.42, 498.80 and 214.06

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Solution

The fourth proportional to 361.42, 498.80 and 214.06 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.42 : 498.80 = 214.06 : x
  2. Step 2: Convert to fraction form
    361.42/498.80 = 214.06/x
  3. Step 3: Cross multiply
    361.42x = 498.80 × 214.06
  4. Step 4: Simplify right side
    361.42x = 106,773.13
  5. Step 5: Solve for x
    x = 106,773.13/361.42
  6. Step 6: Final answer
    x = 295.43

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Why These Related Problems?

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