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Finding the Fourth Proportional to 361.04, 497.60 and 255.92

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Solution

The fourth proportional to 361.04, 497.60 and 255.92 is: 352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.04 : 497.60 = 255.92 : x
  2. Step 2: Convert to fraction form
    361.04/497.60 = 255.92/x
  3. Step 3: Cross multiply
    361.04x = 497.60 × 255.92
  4. Step 4: Simplify right side
    361.04x = 127,345.79
  5. Step 5: Solve for x
    x = 127,345.79/361.04
  6. Step 6: Final answer
    x = 352.72

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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.