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Finding the Fourth Proportional to 364.65, 546.44 and 267.99

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Solution

The fourth proportional to 364.65, 546.44 and 267.99 is: 401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.65 : 546.44 = 267.99 : x
  2. Step 2: Convert to fraction form
    364.65/546.44 = 267.99/x
  3. Step 3: Cross multiply
    364.65x = 546.44 × 267.99
  4. Step 4: Simplify right side
    364.65x = 146,439.12
  5. Step 5: Solve for x
    x = 146,439.12/364.65
  6. Step 6: Final answer
    x = 401.59

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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.