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Finding the Fourth Proportional to 543.66, 814.56 and 361.38

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Solution

The fourth proportional to 543.66, 814.56 and 361.38 is: 541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.66 : 814.56 = 361.38 : x
  2. Step 2: Convert to fraction form
    543.66/814.56 = 361.38/x
  3. Step 3: Cross multiply
    543.66x = 814.56 × 361.38
  4. Step 4: Simplify right side
    543.66x = 294,365.69
  5. Step 5: Solve for x
    x = 294,365.69/543.66
  6. Step 6: Final answer
    x = 541.45

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