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Finding the Fourth Proportional to 361.77, 498.74 and 284.01

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Solution

The fourth proportional to 361.77, 498.74 and 284.01 is: 391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.77 : 498.74 = 284.01 : x
  2. Step 2: Convert to fraction form
    361.77/498.74 = 284.01/x
  3. Step 3: Cross multiply
    361.77x = 498.74 × 284.01
  4. Step 4: Simplify right side
    361.77x = 141,645.73
  5. Step 5: Solve for x
    x = 141,645.73/361.77
  6. Step 6: Final answer
    x = 391.54

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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.