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Finding the Fourth Proportional to 361.41, 544.57 and 297.83

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Solution

The fourth proportional to 361.41, 544.57 and 297.83 is: 448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.41 : 544.57 = 297.83 : x
  2. Step 2: Convert to fraction form
    361.41/544.57 = 297.83/x
  3. Step 3: Cross multiply
    361.41x = 544.57 × 297.83
  4. Step 4: Simplify right side
    361.41x = 162,188.51
  5. Step 5: Solve for x
    x = 162,188.51/361.41
  6. Step 6: Final answer
    x = 448.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.