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Finding the Fourth Proportional to 399.48, 599 and 182.94

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Solution

The fourth proportional to 399.48, 599 and 182.94 is: 274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.48 : 599 = 182.94 : x
  2. Step 2: Convert to fraction form
    399.48/599 = 182.94/x
  3. Step 3: Cross multiply
    399.48x = 599 × 182.94
  4. Step 4: Simplify right side
    399.48x = 109,581.06
  5. Step 5: Solve for x
    x = 109,581.06/399.48
  6. Step 6: Final answer
    x = 274.31

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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.