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Finding the Fourth Proportional to 326.99, 492.74 and 270.49

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Solution

The fourth proportional to 326.99, 492.74 and 270.49 is: 407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.99 : 492.74 = 270.49 : x
  2. Step 2: Convert to fraction form
    326.99/492.74 = 270.49/x
  3. Step 3: Cross multiply
    326.99x = 492.74 × 270.49
  4. Step 4: Simplify right side
    326.99x = 133,280.64
  5. Step 5: Solve for x
    x = 133,280.64/326.99
  6. Step 6: Final answer
    x = 407.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.