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Finding the Fourth Proportional to 361.02, 497.70 and 273.54

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Solution

The fourth proportional to 361.02, 497.70 and 273.54 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 497.70 = 273.54 : x
  2. Step 2: Convert to fraction form
    361.02/497.70 = 273.54/x
  3. Step 3: Cross multiply
    361.02x = 497.70 × 273.54
  4. Step 4: Simplify right side
    361.02x = 136,140.86
  5. Step 5: Solve for x
    x = 136,140.86/361.02
  6. Step 6: Final answer
    x = 377.10

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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.