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Finding the Fourth Proportional to 306.33, 456.54 and 303.78

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Solution

The fourth proportional to 306.33, 456.54 and 303.78 is: 452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.33 : 456.54 = 303.78 : x
  2. Step 2: Convert to fraction form
    306.33/456.54 = 303.78/x
  3. Step 3: Cross multiply
    306.33x = 456.54 × 303.78
  4. Step 4: Simplify right side
    306.33x = 138,687.72
  5. Step 5: Solve for x
    x = 138,687.72/306.33
  6. Step 6: Final answer
    x = 452.74

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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.