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Finding the Fourth Proportional to 301.38, 448.98 and 282.75

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Solution

The fourth proportional to 301.38, 448.98 and 282.75 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 448.98 = 282.75 : x
  2. Step 2: Convert to fraction form
    301.38/448.98 = 282.75/x
  3. Step 3: Cross multiply
    301.38x = 448.98 × 282.75
  4. Step 4: Simplify right side
    301.38x = 126,949.10
  5. Step 5: Solve for x
    x = 126,949.10/301.38
  6. Step 6: Final answer
    x = 421.23

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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.