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Finding the Fourth Proportional to 361.51, 541.45 and 258.91

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Solution

The fourth proportional to 361.51, 541.45 and 258.91 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.51 : 541.45 = 258.91 : x
  2. Step 2: Convert to fraction form
    361.51/541.45 = 258.91/x
  3. Step 3: Cross multiply
    361.51x = 541.45 × 258.91
  4. Step 4: Simplify right side
    361.51x = 140,186.82
  5. Step 5: Solve for x
    x = 140,186.82/361.51
  6. Step 6: Final answer
    x = 387.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.