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Finding the Fourth Proportional to 303.24, 452.46 and 272.46

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Solution

The fourth proportional to 303.24, 452.46 and 272.46 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 452.46 = 272.46 : x
  2. Step 2: Convert to fraction form
    303.24/452.46 = 272.46/x
  3. Step 3: Cross multiply
    303.24x = 452.46 × 272.46
  4. Step 4: Simplify right side
    303.24x = 123,277.25
  5. Step 5: Solve for x
    x = 123,277.25/303.24
  6. Step 6: Final answer
    x = 406.53

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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.