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Finding the Fourth Proportional to 303.97, 456.13 and 280.75

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Solution

The fourth proportional to 303.97, 456.13 and 280.75 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.97 : 456.13 = 280.75 : x
  2. Step 2: Convert to fraction form
    303.97/456.13 = 280.75/x
  3. Step 3: Cross multiply
    303.97x = 456.13 × 280.75
  4. Step 4: Simplify right side
    303.97x = 128,058.50
  5. Step 5: Solve for x
    x = 128,058.50/303.97
  6. Step 6: Final answer
    x = 421.29

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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.