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Finding the Fourth Proportional to 300.84, 453.67 and 282.92

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Solution

The fourth proportional to 300.84, 453.67 and 282.92 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 453.67 = 282.92 : x
  2. Step 2: Convert to fraction form
    300.84/453.67 = 282.92/x
  3. Step 3: Cross multiply
    300.84x = 453.67 × 282.92
  4. Step 4: Simplify right side
    300.84x = 128,352.32
  5. Step 5: Solve for x
    x = 128,352.32/300.84
  6. Step 6: Final answer
    x = 426.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.