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Finding the Fourth Proportional to 301.78, 450.05 and 262.90

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Solution

The fourth proportional to 301.78, 450.05 and 262.90 is: 392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 450.05 = 262.90 : x
  2. Step 2: Convert to fraction form
    301.78/450.05 = 262.90/x
  3. Step 3: Cross multiply
    301.78x = 450.05 × 262.90
  4. Step 4: Simplify right side
    301.78x = 118,318.15
  5. Step 5: Solve for x
    x = 118,318.15/301.78
  6. Step 6: Final answer
    x = 392.07

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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.