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Finding the Fourth Proportional to 301.92, 453.09 and 284.10

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Solution

The fourth proportional to 301.92, 453.09 and 284.10 is: 426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 453.09 = 284.10 : x
  2. Step 2: Convert to fraction form
    301.92/453.09 = 284.10/x
  3. Step 3: Cross multiply
    301.92x = 453.09 × 284.10
  4. Step 4: Simplify right side
    301.92x = 128,722.87
  5. Step 5: Solve for x
    x = 128,722.87/301.92
  6. Step 6: Final answer
    x = 426.35

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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.