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Finding the Fourth Proportional to 332.38, 495.26 and 296.03

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Solution

The fourth proportional to 332.38, 495.26 and 296.03 is: 441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.38 : 495.26 = 296.03 : x
  2. Step 2: Convert to fraction form
    332.38/495.26 = 296.03/x
  3. Step 3: Cross multiply
    332.38x = 495.26 × 296.03
  4. Step 4: Simplify right side
    332.38x = 146,609.34
  5. Step 5: Solve for x
    x = 146,609.34/332.38
  6. Step 6: Final answer
    x = 441.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.