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Finding the Fourth Proportional to 303.49, 452.00 and 292.73

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Solution

The fourth proportional to 303.49, 452.00 and 292.73 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.49 : 452.00 = 292.73 : x
  2. Step 2: Convert to fraction form
    303.49/452.00 = 292.73/x
  3. Step 3: Cross multiply
    303.49x = 452.00 × 292.73
  4. Step 4: Simplify right side
    303.49x = 132,313.56
  5. Step 5: Solve for x
    x = 132,313.56/303.49
  6. Step 6: Final answer
    x = 435.97

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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.