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Finding the Fourth Proportional to 399.30, 549.79 and 329.13

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Solution

The fourth proportional to 399.30, 549.79 and 329.13 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 549.79 = 329.13 : x
  2. Step 2: Convert to fraction form
    399.30/549.79 = 329.13/x
  3. Step 3: Cross multiply
    399.30x = 549.79 × 329.13
  4. Step 4: Simplify right side
    399.30x = 180,952.38
  5. Step 5: Solve for x
    x = 180,952.38/399.30
  6. Step 6: Final answer
    x = 453.17

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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.