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Finding the Fourth Proportional to 300.50, 448.66 and 282.05

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Solution

The fourth proportional to 300.50, 448.66 and 282.05 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.50 : 448.66 = 282.05 : x
  2. Step 2: Convert to fraction form
    300.50/448.66 = 282.05/x
  3. Step 3: Cross multiply
    300.50x = 448.66 × 282.05
  4. Step 4: Simplify right side
    300.50x = 126,542.76
  5. Step 5: Solve for x
    x = 126,542.76/300.50
  6. Step 6: Final answer
    x = 421.11

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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.