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Finding the Fourth Proportional to 361.69, 543.26 and 339.82

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Solution

The fourth proportional to 361.69, 543.26 and 339.82 is: 510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 543.26 = 339.82 : x
  2. Step 2: Convert to fraction form
    361.69/543.26 = 339.82/x
  3. Step 3: Cross multiply
    361.69x = 543.26 × 339.82
  4. Step 4: Simplify right side
    361.69x = 184,610.61
  5. Step 5: Solve for x
    x = 184,610.61/361.69
  6. Step 6: Final answer
    x = 510.41

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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.