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Finding the Fourth Proportional to 303.99, 456.12 and 281.49

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Solution

The fourth proportional to 303.99, 456.12 and 281.49 is: 422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.99 : 456.12 = 281.49 : x
  2. Step 2: Convert to fraction form
    303.99/456.12 = 281.49/x
  3. Step 3: Cross multiply
    303.99x = 456.12 × 281.49
  4. Step 4: Simplify right side
    303.99x = 128,393.22
  5. Step 5: Solve for x
    x = 128,393.22/303.99
  6. Step 6: Final answer
    x = 422.36

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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.