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Finding the Fourth Proportional to 361.61, 541.59 and 306.64

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Solution

The fourth proportional to 361.61, 541.59 and 306.64 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.61 : 541.59 = 306.64 : x
  2. Step 2: Convert to fraction form
    361.61/541.59 = 306.64/x
  3. Step 3: Cross multiply
    361.61x = 541.59 × 306.64
  4. Step 4: Simplify right side
    361.61x = 166,069.64
  5. Step 5: Solve for x
    x = 166,069.64/361.61
  6. Step 6: Final answer
    x = 459.25

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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.