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Finding the Fourth Proportional to 367.46, 505.88 and 323.12

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Solution

The fourth proportional to 367.46, 505.88 and 323.12 is: 444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.46 : 505.88 = 323.12 : x
  2. Step 2: Convert to fraction form
    367.46/505.88 = 323.12/x
  3. Step 3: Cross multiply
    367.46x = 505.88 × 323.12
  4. Step 4: Simplify right side
    367.46x = 163,459.95
  5. Step 5: Solve for x
    x = 163,459.95/367.46
  6. Step 6: Final answer
    x = 444.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.