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Finding the Fourth Proportional to 361.06, 498.50 and 278.02

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Solution

The fourth proportional to 361.06, 498.50 and 278.02 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.06 : 498.50 = 278.02 : x
  2. Step 2: Convert to fraction form
    361.06/498.50 = 278.02/x
  3. Step 3: Cross multiply
    361.06x = 498.50 × 278.02
  4. Step 4: Simplify right side
    361.06x = 138,592.97
  5. Step 5: Solve for x
    x = 138,592.97/361.06
  6. Step 6: Final answer
    x = 383.85

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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.