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Finding the Fourth Proportional to 361.59, 540.14 and 306.91

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Solution

The fourth proportional to 361.59, 540.14 and 306.91 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.59 : 540.14 = 306.91 : x
  2. Step 2: Convert to fraction form
    361.59/540.14 = 306.91/x
  3. Step 3: Cross multiply
    361.59x = 540.14 × 306.91
  4. Step 4: Simplify right side
    361.59x = 165,774.37
  5. Step 5: Solve for x
    x = 165,774.37/361.59
  6. Step 6: Final answer
    x = 458.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.