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Finding the Fourth Proportional to 361.10, 541.34 and 306.62

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Solution

The fourth proportional to 361.10, 541.34 and 306.62 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.10 : 541.34 = 306.62 : x
  2. Step 2: Convert to fraction form
    361.10/541.34 = 306.62/x
  3. Step 3: Cross multiply
    361.10x = 541.34 × 306.62
  4. Step 4: Simplify right side
    361.10x = 165,985.67
  5. Step 5: Solve for x
    x = 165,985.67/361.10
  6. Step 6: Final answer
    x = 459.67

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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.