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Finding the Fourth Proportional to 361.35, 542.02 and 289.66

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Solution

The fourth proportional to 361.35, 542.02 and 289.66 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.35 : 542.02 = 289.66 : x
  2. Step 2: Convert to fraction form
    361.35/542.02 = 289.66/x
  3. Step 3: Cross multiply
    361.35x = 542.02 × 289.66
  4. Step 4: Simplify right side
    361.35x = 157,003.59
  5. Step 5: Solve for x
    x = 157,003.59/361.35
  6. Step 6: Final answer
    x = 434.49

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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.