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Finding the Fourth Proportional to 361.06, 497.74 and 257.38

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Solution

The fourth proportional to 361.06, 497.74 and 257.38 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.06 : 497.74 = 257.38 : x
  2. Step 2: Convert to fraction form
    361.06/497.74 = 257.38/x
  3. Step 3: Cross multiply
    361.06x = 497.74 × 257.38
  4. Step 4: Simplify right side
    361.06x = 128,104.55
  5. Step 5: Solve for x
    x = 128,104.55/361.06
  6. Step 6: Final answer
    x = 354.81

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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.