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Finding the Fourth Proportional to 361.67, 543.38 and 302.13

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Solution

The fourth proportional to 361.67, 543.38 and 302.13 is: 453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 543.38 = 302.13 : x
  2. Step 2: Convert to fraction form
    361.67/543.38 = 302.13/x
  3. Step 3: Cross multiply
    361.67x = 543.38 × 302.13
  4. Step 4: Simplify right side
    361.67x = 164,169.89
  5. Step 5: Solve for x
    x = 164,169.89/361.67
  6. Step 6: Final answer
    x = 453.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.