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Finding the Fourth Proportional to 461.68, 691.30 and 361.86

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Solution

The fourth proportional to 461.68, 691.30 and 361.86 is: 541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 691.30 = 361.86 : x
  2. Step 2: Convert to fraction form
    461.68/691.30 = 361.86/x
  3. Step 3: Cross multiply
    461.68x = 691.30 × 361.86
  4. Step 4: Simplify right side
    461.68x = 250,153.82
  5. Step 5: Solve for x
    x = 250,153.82/461.68
  6. Step 6: Final answer
    x = 541.83

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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.